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7(v-2)=3v-38
We move all terms to the left:
7(v-2)-(3v-38)=0
We multiply parentheses
7v-(3v-38)-14=0
We get rid of parentheses
7v-3v+38-14=0
We add all the numbers together, and all the variables
4v+24=0
We move all terms containing v to the left, all other terms to the right
4v=-24
v=-24/4
v=-6
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