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-5(2+3v)=38-7v
We move all terms to the left:
-5(2+3v)-(38-7v)=0
We add all the numbers together, and all the variables
-5(3v+2)-(-7v+38)=0
We multiply parentheses
-15v-(-7v+38)-10=0
We get rid of parentheses
-15v+7v-38-10=0
We add all the numbers together, and all the variables
-8v-48=0
We move all terms containing v to the left, all other terms to the right
-8v=48
v=48/-8
v=-6
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