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7(v-8)=-9v+40
We move all terms to the left:
7(v-8)-(-9v+40)=0
We multiply parentheses
7v-(-9v+40)-56=0
We get rid of parentheses
7v+9v-40-56=0
We add all the numbers together, and all the variables
16v-96=0
We move all terms containing v to the left, all other terms to the right
16v=96
v=96/16
v=6
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