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2-2t=3t+17
We move all terms to the left:
2-2t-(3t+17)=0
We get rid of parentheses
-2t-3t-17+2=0
We add all the numbers together, and all the variables
-5t-15=0
We move all terms containing t to the left, all other terms to the right
-5t=15
t=15/-5
t=-3
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