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-8(v+7)=5v+22
We move all terms to the left:
-8(v+7)-(5v+22)=0
We multiply parentheses
-8v-(5v+22)-56=0
We get rid of parentheses
-8v-5v-22-56=0
We add all the numbers together, and all the variables
-13v-78=0
We move all terms containing v to the left, all other terms to the right
-13v=78
v=78/-13
v=-6
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