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2(v-9)=7v+32
We move all terms to the left:
2(v-9)-(7v+32)=0
We multiply parentheses
2v-(7v+32)-18=0
We get rid of parentheses
2v-7v-32-18=0
We add all the numbers together, and all the variables
-5v-50=0
We move all terms containing v to the left, all other terms to the right
-5v=50
v=50/-5
v=-10
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