High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Chapter 11.5, Problem 37PPE
To determine

To solve the equation s3s+2+s+32s4=2s3s24s4 and check the solution.

Expert Solution & Answer
Check Mark

Answer to Problem 37PPE

  s=1,65

Explanation of Solution

Given:

The given equation is s3s+2+s+32s4=2s3s24s4

Concept used :

  • Least Common Denominator (LCD) is the smallest number that is divisible by the denominator of all the fractions that are being added or subtracted.
  • Solving an equation containing rational expressions
    1. Multiply both sides of equations by LCD(least common denominator) of all denominators.
    2. Remove any grouping symbols and solve the resulting equation for the variable asked in equation.

Calculations :

In order to solve the equation s3s+2+s+32s4=2s3s24s4 , observe that the LCD of all the denominators is (3s+2)(2s4) . So multiply both sides by this LCD to get rid of the denominators and simplify further as shown below

   s 3s+2 + s+3 2s4 = 2s 3 s 2 4s4

   s 3s+2 ( 3s+2 )( 2s4 )+ s+3 2s4 ( 3s+2 )( 2s4 )= 2s 3 s 2 4s4 ( 3s+2 )( 2s4 )

   s( 2s4 )+( s+3 )( 3s+2 )= 2s( 3s+2 )( 2s4 ) 3 s 2 ( 62 )s4

   s( 2s4 )+( s+3 )( 3s+2 )= 2s( 3s+2 )( 2s4 ) 3 s 2 6s+2s4

   2 s 2 4s+3 s 2 +2s+9s+6= 2s( 3s+2 )( 2s4 ) 3s( s2 )+2( s2 )

   5 s 2 +7s+6= 2s( 3s+2 )2( s2 ) ( 3s+2 )( s2 )

   5 s 2 +7s+6=4s

   5 s 2 +7s+4s+6=0 5 s 2 +11s+6=0 5 s 2 +( 5+6 )s+6=0

   5 s 2 +5s+6s+6=0 5s( s+1 )+6( s+1 )=0 ( 5s+6 )( s+1 )=0

   5s+6=0 5s=6 s= 6 5

   s+1=0 s=1 s=1, 6 5

Thus, the solution of the given equation is s=1,65 .

Now to check the solution, substitute s=1,65 in the given equation and check whether left hand side value is equal to the right hand side value or no. So, it gives

   s 3s+2 + s+3 2s4 = 2s 3 s 2 4s4

   1 3( 1 )+2 + 1+3 2( 1 )4 = 2( 1 ) 3 ( 1 ) 2 4( 1 )4

   1 3+2 + 2 24 = 2 3+44

   1 1 + 2 6 = 2 3

   1 1 3 = 2 3

   13 1 3 3= 2 3 3

   31=2 2=2 ifs= 6 5

   6 5 3( 6 5 )+2 + 6 5 +3 2( 6 5 )4 = 2( 6 5 ) 3 ( 6 5 ) 2 4( 6 5 )4

   6 5 18 5 +2 + 6 5 +3 12 5 4 = 12 5 108 25 + 24 5 4

   6 5 18 5 +2 5 5 + 6 5 +3 5 5 12 5 4 5 5 = 12 5 108 25 + 24 5 4 5 5

   6 5 18+10 5 + 6+15 5 1220 5 = 12 5 108 25 + 2420 5

   6 8 9 32 = 12 5 5 5 108 25 + 4 5 5 5

  68932=602510825+202568932=60128683293232=153232249=1515=15 True Statement

Chapter 11 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 11.1 - Prob. 7LCCh. 11.1 - Prob. 8PPECh. 11.1 - Prob. 9PPECh. 11.1 - Prob. 10PPECh. 11.1 - Prob. 11PPECh. 11.1 - Prob. 12PPECh. 11.1 - Prob. 13PPECh. 11.1 - Prob. 14PPECh. 11.1 - Prob. 15PPECh. 11.1 - Prob. 16PPECh. 11.1 - Prob. 17PPECh. 11.1 - Prob. 18PPECh. 11.1 - Prob. 19PPECh. 11.1 - Prob. 20PPECh. 11.1 - Prob. 21PPECh. 11.1 - Prob. 22PPECh. 11.1 - Prob. 23PPECh. 11.1 - Prob. 24PPECh. 11.1 - Prob. 25PPECh. 11.1 - Prob. 26PPECh. 11.1 - Prob. 27PPECh. 11.1 - Prob. 28PPECh. 11.1 - Prob. 29PPECh. 11.1 - Prob. 30PPECh. 11.1 - Prob. 31PPECh. 11.1 - Prob. 32PPECh. 11.1 - Prob. 33PPECh. 11.1 - Prob. 34PPECh. 11.1 - Prob. 35PPECh. 11.1 - Prob. 36PPECh. 11.1 - Prob. 37PPECh. 11.1 - Prob. 38PPECh. 11.1 - Prob. 39PPECh. 11.1 - Prob. 40PPECh. 11.1 - Prob. 41PPECh. 11.1 - Prob. 42PPECh. 11.1 - Prob. 43PPECh. 11.1 - Prob. 44PPECh. 11.1 - Prob. 45PPECh. 11.1 - Prob. 46PPECh. 11.1 - Prob. 47PPECh. 11.1 - Prob. 48PPECh. 11.1 - Prob. 49PPECh. 11.1 - Prob. 50PPECh. 11.1 - Prob. 51PPECh. 11.1 - Prob. 52PPECh. 11.1 - Prob. 53PPECh. 11.1 - Prob. 1MPCh. 11.2 - Prob. 1PCh. 11.2 - Prob. 2PCh. 11.2 - Prob. 3PCh. 11.2 - Prob. 4PCh. 11.2 - Prob. 5PCh. 11.2 - Prob. 6PCh. 11.2 - Prob. 1LCCh. 11.2 - Prob. 2LCCh. 11.2 - Prob. 3LCCh. 11.2 - Prob. 4LCCh. 11.2 - Prob. 5LCCh. 11.2 - Prob. 6LCCh. 11.2 - Prob. 7LCCh. 11.2 - Prob. 8LCCh. 11.2 - Prob. 9LCCh. 11.2 - Prob. 10LCCh. 11.2 - Prob. 11PPECh. 11.2 - Prob. 12PPECh. 11.2 - Prob. 13PPECh. 11.2 - Prob. 14PPECh. 11.2 - Prob. 15PPECh. 11.2 - Prob. 16PPECh. 11.2 - Prob. 17PPECh. 11.2 - Prob. 18PPECh. 11.2 - Prob. 19PPECh. 11.2 - Prob. 20PPECh. 11.2 - Prob. 21PPECh. 11.2 - Prob. 22PPECh. 11.2 - Prob. 23PPECh. 11.2 - Prob. 24PPECh. 11.2 - Prob. 25PPECh. 11.2 - Prob. 26PPECh. 11.2 - Prob. 27PPECh. 11.2 - Prob. 28PPECh. 11.2 - Prob. 29PPECh. 11.2 - Prob. 30PPECh. 11.2 - Prob. 31PPECh. 11.2 - Prob. 32PPECh. 11.2 - Prob. 33PPECh. 11.2 - Prob. 34PPECh. 11.2 - Prob. 35PPECh. 11.2 - Prob. 36PPECh. 11.2 - Prob. 37PPECh. 11.2 - Prob. 38PPECh. 11.2 - Prob. 39PPECh. 11.2 - Prob. 40PPECh. 11.2 - Prob. 41PPECh. 11.2 - Prob. 42PPECh. 11.2 - Prob. 43PPECh. 11.2 - Prob. 44PPECh. 11.2 - Prob. 45PPECh. 11.2 - Prob. 46PPECh. 11.2 - Prob. 47PPECh. 11.2 - Prob. 48PPECh. 11.2 - Prob. 49PPECh. 11.2 - Prob. 50PPECh. 11.2 - Prob. 51PPECh. 11.2 - Prob. 52PPECh. 11.2 - Prob. 53PPECh. 11.2 - Prob. 54PPECh. 11.2 - Prob. 55PPECh. 11.2 - Prob. 56PPECh. 11.2 - Prob. 57PPECh. 11.2 - Prob. 58PPECh. 11.2 - Prob. 59PPECh. 11.2 - Prob. 60PPECh. 11.2 - Prob. 61PPECh. 11.2 - Prob. 62PPECh. 11.2 - Prob. 63PPECh. 11.2 - Prob. 64PPECh. 11.2 - Prob. 65PPECh. 11.2 - Prob. 66PPECh. 11.2 - Prob. 67PPECh. 11.2 - Prob. 68PPECh. 11.2 - Prob. 69PPECh. 11.2 - Prob. 70STPCh. 11.2 - Prob. 71STPCh. 11.2 - Prob. 72STPCh. 11.2 - Prob. 73STPCh. 11.2 - Prob. 74MRCh. 11.2 - Prob. 75MRCh. 11.2 - Prob. 76MRCh. 11.2 - Prob. 77MRCh. 11.2 - Prob. 78MRCh. 11.2 - Prob. 79MRCh. 11.3 - Prob. 1CBCh. 11.3 - Prob. 2CBCh. 11.3 - Prob. 3CBCh. 11.3 - Prob. 4CBCh. 11.3 - Prob. 5CBCh. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 1LCCh. 11.3 - Prob. 2LCCh. 11.3 - Prob. 3LCCh. 11.3 - Prob. 4LCCh. 11.3 - Prob. 5LCCh. 11.3 - Prob. 6LCCh. 11.3 - Prob. 7LCCh. 11.3 - Prob. 8PPECh. 11.3 - Prob. 9PPECh. 11.3 - Prob. 10PPECh. 11.3 - Prob. 11PPECh. 11.3 - Prob. 12PPECh. 11.3 - Prob. 13PPECh. 11.3 - Prob. 14PPECh. 11.3 - Prob. 15PPECh. 11.3 - Prob. 16PPECh. 11.3 - Prob. 17PPECh. 11.3 - Prob. 18PPECh. 11.3 - Prob. 19PPECh. 11.3 - Prob. 20PPECh. 11.3 - Prob. 21PPECh. 11.3 - Prob. 22PPECh. 11.3 - Prob. 23PPECh. 11.3 - Prob. 24PPECh. 11.3 - Prob. 25PPECh. 11.3 - Prob. 26PPECh. 11.3 - Prob. 27PPECh. 11.3 - Prob. 28PPECh. 11.3 - Prob. 29PPECh. 11.3 - Prob. 30PPECh. 11.3 - Prob. 31PPECh. 11.3 - Prob. 32PPECh. 11.3 - Prob. 33PPECh. 11.3 - Prob. 34PPECh. 11.3 - Prob. 35PPECh. 11.3 - Prob. 36PPECh. 11.3 - Prob. 37PPECh. 11.3 - Prob. 38PPECh. 11.3 - Prob. 39PPECh. 11.3 - Prob. 40PPECh. 11.3 - Prob. 41PPECh. 11.3 - Prob. 42PPECh. 11.3 - Prob. 43PPECh. 11.3 - Prob. 44PPECh. 11.3 - Prob. 45PPECh. 11.3 - Prob. 46PPECh. 11.3 - Prob. 47PPECh. 11.3 - Prob. 48PPECh. 11.3 - Prob. 49PPECh. 11.3 - Prob. 50PPECh. 11.3 - Prob. 51PPECh. 11.3 - Prob. 52PPECh. 11.3 - Prob. 53PPECh. 11.3 - Prob. 54PPECh. 11.3 - Prob. 55PPECh. 11.3 - Prob. 56PPECh. 11.3 - Prob. 57PPECh. 11.3 - Prob. 58PPECh. 11.3 - Prob. 59PPECh. 11.3 - Prob. 60STPCh. 11.3 - Prob. 61STPCh. 11.3 - Prob. 62STPCh. 11.3 - Prob. 63STPCh. 11.3 - Prob. 64MRCh. 11.3 - Prob. 65MRCh. 11.3 - Prob. 66MRCh. 11.3 - Prob. 67MRCh. 11.3 - Prob. 68MRCh. 11.3 - Prob. 69MRCh. 11.3 - Prob. 70MRCh. 11.3 - Prob. 71MRCh. 11.4 - Prob. 1PCh. 11.4 - Prob. 2PCh. 11.4 - Prob. 3PCh. 11.4 - Prob. 4PCh. 11.4 - Prob. 5PCh. 11.4 - Prob. 1LCCh. 11.4 - Prob. 2LCCh. 11.4 - Prob. 3LCCh. 11.4 - Prob. 4LCCh. 11.4 - Prob. 5LCCh. 11.4 - Prob. 6LCCh. 11.4 - Prob. 7LCCh. 11.4 - Prob. 8PPECh. 11.4 - Prob. 9PPECh. 11.4 - Prob. 10PPECh. 11.4 - Prob. 11PPECh. 11.4 - Prob. 12PPECh. 11.4 - Prob. 13PPECh. 11.4 - Prob. 14PPECh. 11.4 - Prob. 15PPECh. 11.4 - Prob. 16PPECh. 11.4 - Prob. 17PPECh. 11.4 - Prob. 18PPECh. 11.4 - Prob. 19PPECh. 11.4 - Prob. 20PPECh. 11.4 - Prob. 21PPECh. 11.4 - Prob. 22PPECh. 11.4 - Prob. 23PPECh. 11.4 - Prob. 24PPECh. 11.4 - Prob. 25PPECh. 11.4 - Prob. 26PPECh. 11.4 - Prob. 27PPECh. 11.4 - Prob. 28PPECh. 11.4 - Prob. 29PPECh. 11.4 - Prob. 30PPECh. 11.4 - Prob. 31PPECh. 11.4 - Prob. 32PPECh. 11.4 - Prob. 33PPECh. 11.4 - Prob. 34PPECh. 11.4 - Prob. 35PPECh. 11.4 - Prob. 36PPECh. 11.4 - Prob. 37PPECh. 11.4 - Prob. 38PPECh. 11.4 - Prob. 39PPECh. 11.4 - Prob. 40PPECh. 11.4 - Prob. 41PPECh. 11.4 - Prob. 42PPECh. 11.4 - Prob. 43PPECh. 11.4 - Prob. 44PPECh. 11.4 - Prob. 45PPECh. 11.4 - Prob. 46PPECh. 11.4 - Prob. 47PPECh. 11.4 - Prob. 48PPECh. 11.4 - Prob. 49PPECh. 11.4 - Prob. 50PPECh. 11.4 - Prob. 51PPECh. 11.4 - Prob. 52PPECh. 11.4 - Prob. 53PPECh. 11.4 - Prob. 54PPECh. 11.4 - Prob. 1MPCh. 11.4 - Prob. 1MCQCh. 11.4 - Prob. 2MCQCh. 11.4 - Prob. 3MCQCh. 11.4 - Prob. 4MCQCh. 11.4 - Prob. 5MCQCh. 11.4 - Prob. 6MCQCh. 11.4 - Prob. 7MCQCh. 11.4 - Prob. 8MCQCh. 11.4 - Prob. 9MCQCh. 11.4 - Prob. 10MCQCh. 11.4 - Prob. 11MCQCh. 11.4 - Prob. 12MCQCh. 11.4 - Prob. 13MCQCh. 11.4 - Prob. 14MCQCh. 11.4 - Prob. 15MCQCh. 11.4 - Prob. 16MCQCh. 11.4 - Prob. 17MCQCh. 11.4 - Prob. 18MCQCh. 11.4 - Prob. 19MCQCh. 11.4 - Prob. 20MCQCh. 11.4 - Prob. 21MCQCh. 11.4 - Prob. 22MCQCh. 11.4 - Prob. 23MCQCh. 11.4 - Prob. 24MCQCh. 11.4 - Prob. 25MCQCh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Prob. 1LCCh. 11.5 - Prob. 2LCCh. 11.5 - Prob. 3LCCh. 11.5 - Prob. 4LCCh. 11.5 - Prob. 5LCCh. 11.5 - Prob. 6LCCh. 11.5 - Prob. 7LCCh. 11.5 - Prob. 8PPECh. 11.5 - Prob. 9PPECh. 11.5 - Prob. 10PPECh. 11.5 - Prob. 11PPECh. 11.5 - Prob. 12PPECh. 11.5 - Prob. 13PPECh. 11.5 - Prob. 14PPECh. 11.5 - Prob. 15PPECh. 11.5 - Prob. 16PPECh. 11.5 - Prob. 17PPECh. 11.5 - Prob. 18PPECh. 11.5 - Prob. 19PPECh. 11.5 - Prob. 20PPECh. 11.5 - Prob. 21PPECh. 11.5 - Prob. 22PPECh. 11.5 - Prob. 23PPECh. 11.5 - Prob. 24PPECh. 11.5 - Prob. 25PPECh. 11.5 - Prob. 26PPECh. 11.5 - Prob. 27PPECh. 11.5 - Prob. 28PPECh. 11.5 - Prob. 29PPECh. 11.5 - Prob. 30PPECh. 11.5 - Prob. 31PPECh. 11.5 - Prob. 32PPECh. 11.5 - Prob. 33PPECh. 11.5 - Prob. 34PPECh. 11.5 - Prob. 35PPECh. 11.5 - Prob. 36PPECh. 11.5 - Prob. 37PPECh. 11.5 - Prob. 38PPECh. 11.5 - Prob. 39PPECh. 11.5 - Prob. 40PPECh. 11.5 - Prob. 41PPECh. 11.5 - Prob. 42PPECh. 11.5 - Prob. 43PPECh. 11.5 - Prob. 44PPECh. 11.5 - Prob. 45PPECh. 11.5 - Prob. 46PPECh. 11.5 - Prob. 47PPECh. 11.5 - Prob. 48PPECh. 11.5 - Prob. 49PPECh. 11.5 - Prob. 50PPECh. 11.5 - Prob. 51PPECh. 11.5 - Prob. 52STPCh. 11.5 - Prob. 53STPCh. 11.5 - Prob. 54STPCh. 11.5 - Prob. 55STPCh. 11.5 - Prob. 56MRCh. 11.5 - Prob. 57MRCh. 11.5 - Prob. 58MRCh. 11.5 - Prob. 59MRCh. 11.5 - Prob. 60MRCh. 11.5 - Prob. 61MRCh. 11.5 - Prob. 62MRCh. 11.5 - Prob. 63MRCh. 11.5 - Prob. 64MRCh. 11.5 - Prob. 65MRCh. 11.5 - Prob. 66MRCh. 11.6 - Prob. 1PCh. 11.6 - Prob. 2PCh. 11.6 - Prob. 3PCh. 11.6 - Prob. 4PCh. 11.6 - Prob. 5PCh. 11.6 - Prob. 1LCCh. 11.6 - Prob. 2LCCh. 11.6 - Prob. 3LCCh. 11.6 - Prob. 4LCCh. 11.6 - Prob. 5LCCh. 11.6 - Prob. 6LCCh. 11.6 - Prob. 7LCCh. 11.6 - Prob. 8LCCh. 11.6 - Prob. 9PPECh. 11.6 - Prob. 10PPECh. 11.6 - Prob. 11PPECh. 11.6 - Prob. 12PPECh. 11.6 - Prob. 13PPECh. 11.6 - Prob. 14PPECh. 11.6 - Prob. 15PPECh. 11.6 - Prob. 16PPECh. 11.6 - Prob. 17PPECh. 11.6 - Prob. 18PPECh. 11.6 - Prob. 19PPECh. 11.6 - Prob. 20PPECh. 11.6 - Prob. 21PPECh. 11.6 - Prob. 22PPECh. 11.6 - Prob. 23PPECh. 11.6 - Prob. 24PPECh. 11.6 - Prob. 25PPECh. 11.6 - Prob. 26PPECh. 11.6 - Prob. 27PPECh. 11.6 - Prob. 28PPECh. 11.6 - Prob. 29PPECh. 11.6 - Prob. 30PPECh. 11.6 - Prob. 31PPECh. 11.6 - Prob. 32PPECh. 11.6 - Prob. 33PPECh. 11.6 - Prob. 34PPECh. 11.6 - Prob. 35PPECh. 11.6 - Prob. 36PPECh. 11.6 - Prob. 37PPECh. 11.6 - Prob. 38PPECh. 11.6 - Prob. 39PPECh. 11.6 - Prob. 40PPECh. 11.6 - Prob. 41PPECh. 11.6 - Prob. 42PPECh. 11.6 - Prob. 43PPECh. 11.6 - Prob. 44PPECh. 11.6 - Prob. 45PPECh. 11.6 - Prob. 46PPECh. 11.6 - Prob. 47PPECh. 11.6 - Prob. 48PPECh. 11.6 - Prob. 49PPECh. 11.6 - Prob. 50STPCh. 11.6 - Prob. 51STPCh. 11.6 - Prob. 52STPCh. 11.6 - Prob. 53MRCh. 11.6 - Prob. 54MRCh. 11.6 - Prob. 55MRCh. 11.6 - Prob. 56MRCh. 11.6 - Prob. 57MRCh. 11.6 - Prob. 58MRCh. 11.6 - Prob. 59MRCh. 11.7 - Prob. 1PCh. 11.7 - Prob. 2PCh. 11.7 - Prob. 3PCh. 11.7 - Prob. 4PCh. 11.7 - Prob. 1LCCh. 11.7 - Prob. 2LCCh. 11.7 - Prob. 3LCCh. 11.7 - Prob. 4LCCh. 11.7 - Prob. 5LCCh. 11.7 - Prob. 6LCCh. 11.7 - Prob. 7LCCh. 11.7 - Prob. 8PPECh. 11.7 - Prob. 9PPECh. 11.7 - Prob. 10PPECh. 11.7 - Prob. 11PPECh. 11.7 - Prob. 12PPECh. 11.7 - Prob. 13PPECh. 11.7 - Prob. 14PPECh. 11.7 - Prob. 15PPECh. 11.7 - Prob. 16PPECh. 11.7 - Prob. 17PPECh. 11.7 - Prob. 18PPECh. 11.7 - Prob. 19PPECh. 11.7 - Prob. 20PPECh. 11.7 - Prob. 21PPECh. 11.7 - Prob. 22PPECh. 11.7 - Prob. 23PPECh. 11.7 - Prob. 24PPECh. 11.7 - Prob. 25PPECh. 11.7 - Prob. 26PPECh. 11.7 - Prob. 27PPECh. 11.7 - Prob. 28PPECh. 11.7 - Prob. 29PPECh. 11.7 - Prob. 30PPECh. 11.7 - Prob. 31PPECh. 11.7 - Prob. 32PPECh. 11.7 - Prob. 33PPECh. 11.7 - Prob. 34PPECh. 11.7 - Prob. 35PPECh. 11.7 - Prob. 36PPECh. 11.7 - Prob. 37PPECh. 11.7 - Prob. 38PPECh. 11.7 - Prob. 39PPECh. 11.7 - Prob. 40PPECh. 11.7 - Prob. 41PPECh. 11.7 - Prob. 42PPECh. 11.7 - Prob. 43PPECh. 11.7 - Prob. 44PPECh. 11.7 - Prob. 45PPECh. 11.7 - Prob. 46PPECh. 11.7 - Prob. 47PPECh. 11.7 - Prob. 48PPECh. 11.7 - Prob. 49PPECh. 11.7 - Prob. 1MPCh. 11.7 - Prob. 1CBCh. 11.7 - Prob. 2CBCh. 11.7 - Prob. 3CBCh. 11.7 - Prob. 4CBCh. 11.7 - Prob. 5CBCh. 11.7 - Prob. 6CBCh. 11.7 - Prob. 7CBCh. 11.7 - Prob. 8CBCh. 11.7 - Prob. 9CBCh. 11.7 - Prob. 10CBCh. 11 - Prob. 1GRCh. 11 - Prob. 2GRCh. 11 - Prob. 3GRCh. 11 - Prob. 4GRCh. 11 - Prob. 5GRCh. 11 - Prob. 6GRCh. 11 - Prob. 7GRCh. 11 - Prob. 8GRCh. 11 - Prob. 9GRCh. 11 - Prob. 10GRCh. 11 - Prob. 11GRCh. 11 - Prob. 12GRCh. 11 - Prob. 13GRCh. 11 - Prob. 14GRCh. 11 - Prob. 15GRCh. 11 - Prob. 16GRCh. 11 - Prob. 17GRCh. 11 - Prob. 18GRCh. 11 - Prob. 19GRCh. 11 - Prob. 20GRCh. 11 - Prob. 21GRCh. 11 - Prob. 22GRCh. 11 - Prob. 23GRCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 18CRCh. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 24CRCh. 11 - Prob. 25CRCh. 11 - Prob. 26CRCh. 11 - Prob. 27CRCh. 11 - Prob. 28CRCh. 11 - Prob. 29CRCh. 11 - Prob. 30CRCh. 11 - Prob. 31CRCh. 11 - Prob. 32CRCh. 11 - Prob. 33CRCh. 11 - Prob. 34CRCh. 11 - Prob. 35CRCh. 11 - Prob. 36CRCh. 11 - Prob. 37CRCh. 11 - Prob. 38CRCh. 11 - Prob. 39CRCh. 11 - Prob. 40CRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 21PTCh. 11 - Prob. 22PTCh. 11 - Prob. 23PTCh. 11 - Prob. 24PTCh. 11 - Prob. 25PTCh. 11 - Prob. 1CCSRCh. 11 - Prob. 2CCSRCh. 11 - Prob. 3CCSRCh. 11 - Prob. 4CCSRCh. 11 - Prob. 5CCSRCh. 11 - Prob. 6CCSRCh. 11 - Prob. 7CCSRCh. 11 - Prob. 8CCSRCh. 11 - Prob. 9CCSRCh. 11 - Prob. 10CCSRCh. 11 - Prob. 11CCSRCh. 11 - Prob. 12CCSRCh. 11 - Prob. 13CCSRCh. 11 - Prob. 14CCSRCh. 11 - Prob. 15CCSRCh. 11 - Prob. 16CCSRCh. 11 - Prob. 17CCSRCh. 11 - Prob. 18CCSRCh. 11 - Prob. 19CCSRCh. 11 - Prob. 20CCSRCh. 11 - Prob. 21CCSRCh. 11 - Prob. 22CCSRCh. 11 - Prob. 23CCSRCh. 11 - Prob. 24CCSRCh. 11 - Prob. 25CCSRCh. 11 - Prob. 26CCSRCh. 11 - Prob. 27CCSRCh. 11 - Prob. 28CCSRCh. 11 - Prob. 29CCSRCh. 11 - Prob. 30CCSRCh. 11 - Prob. 31CCSR
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