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4(v+9)=2v+38
We move all terms to the left:
4(v+9)-(2v+38)=0
We multiply parentheses
4v-(2v+38)+36=0
We get rid of parentheses
4v-2v-38+36=0
We add all the numbers together, and all the variables
2v-2=0
We move all terms containing v to the left, all other terms to the right
2v=2
v=2/2
v=1
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