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7(v+7)=5v-47
We move all terms to the left:
7(v+7)-(5v-47)=0
We multiply parentheses
7v-(5v-47)+49=0
We get rid of parentheses
7v-5v+47+49=0
We add all the numbers together, and all the variables
2v+96=0
We move all terms containing v to the left, all other terms to the right
2v=-96
v=-96/2
v=-48
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