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-2(t-9)+6=t-12
We move all terms to the left:
-2(t-9)+6-(t-12)=0
We multiply parentheses
-2t-(t-12)+18+6=0
We get rid of parentheses
-2t-t+12+18+6=0
We add all the numbers together, and all the variables
-3t+36=0
We move all terms containing t to the left, all other terms to the right
-3t=-36
t=-36/-3
t=+12
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