Why did he use n=3k, n=3k-1, and n=3k-2 instead of n=9k, n=9k-1, and n=9k-2? and why did he use n=3k-2 when the question is 1 more than a multiple of 9?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.3: Simplifying Variable Expressions
Problem 2E
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Why did he use n=3k, n=3k-1, and n=3k-2 instead of n=9k, n=9k-1, and n=9k-2?

and why did he use n=3k-2 when the question is 1 more than a multiple of 9?

 

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