A pie is removed from a refrigerator and thawed to 10 °C before being placed in an oven preheated at 200 °C. Assuming Newton's law of heating, the temperature T of the pie, in degrees Celsius °C, is described by the differential equation dT = -k(T – T), dt where t is measured in minutes, k = 0.02 /minute, and T is the surrounding temperature. How long (to the nearest minute) does it take for the pie to reach 6 times its initial temperature? (Write down a numerical answer.)

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