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3(t+6)+5=7t-8
We move all terms to the left:
3(t+6)+5-(7t-8)=0
We multiply parentheses
3t-(7t-8)+18+5=0
We get rid of parentheses
3t-7t+8+18+5=0
We add all the numbers together, and all the variables
-4t+31=0
We move all terms containing t to the left, all other terms to the right
-4t=-31
t=-31/-4
t=7+3/4
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