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14+6v-6\left(v+2\right)=v
Use the distributive property to multiply 2 by 7+3v.
14+6v-6v-12=v
Use the distributive property to multiply -6 by v+2.
14-12=v
Combine 6v and -6v to get 0.
2=v
Subtract 12 from 14 to get 2.
v=2
Swap sides so that all variable terms are on the left hand side.