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-3(t-5)+7t=6t-9
We move all terms to the left:
-3(t-5)+7t-(6t-9)=0
We add all the numbers together, and all the variables
7t-3(t-5)-(6t-9)=0
We multiply parentheses
7t-3t-(6t-9)+15=0
We get rid of parentheses
7t-3t-6t+9+15=0
We add all the numbers together, and all the variables
-2t+24=0
We move all terms containing t to the left, all other terms to the right
-2t=-24
t=-24/-2
t=+12
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