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-3(t-4)+8t=9t-5
We move all terms to the left:
-3(t-4)+8t-(9t-5)=0
We add all the numbers together, and all the variables
8t-3(t-4)-(9t-5)=0
We multiply parentheses
8t-3t-(9t-5)+12=0
We get rid of parentheses
8t-3t-9t+5+12=0
We add all the numbers together, and all the variables
-4t+17=0
We move all terms containing t to the left, all other terms to the right
-4t=-17
t=-17/-4
t=4+1/4
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