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5(v-1)=9v+7
We move all terms to the left:
5(v-1)-(9v+7)=0
We multiply parentheses
5v-(9v+7)-5=0
We get rid of parentheses
5v-9v-7-5=0
We add all the numbers together, and all the variables
-4v-12=0
We move all terms containing v to the left, all other terms to the right
-4v=12
v=12/-4
v=-3
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