SOLUTION: Jill asks each of her classmates to choose a number, then multiply the number by –3, add 2 to the product, multiply the result by –2, and then subtract 14. Finally, each student i

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Question 205215: Jill asks each of her classmates to choose a number, then multiply the number by –3, add 2 to the product, multiply the result by –2, and then subtract 14. Finally, each student is asked to divide the result by 6 and record the answer. When Jill gets an answer from a classmate, she just adds 3 to it in her head and announces the number each classmate originally chose. How did Jill know to add 3 to each answer.
Answer by solver91311(12126) (Show Source):
You can put this solution on YOUR website!

Pick a number:

Multiply by -3:

Add 2:

Multiply by -2:

Subtract 14:

Divide by 6:

Add 3 and you are back where you started.

John