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-5(4t-3)+7t=6t-6
We move all terms to the left:
-5(4t-3)+7t-(6t-6)=0
We add all the numbers together, and all the variables
7t-5(4t-3)-(6t-6)=0
We multiply parentheses
7t-20t-(6t-6)+15=0
We get rid of parentheses
7t-20t-6t+6+15=0
We add all the numbers together, and all the variables
-19t+21=0
We move all terms containing t to the left, all other terms to the right
-19t=-21
t=-21/-19
t=1+2/19
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