Question

what is the solution of 7v-(6-2v)=12
show your work.

Answer 1

v = 2

distribute (6 - 2v) by - 1

7v - 6 + 2v = 12

9v - 6 = 12

add 6 to both sides

9v = 12 + 6 = 18

divide both sides by 9

v = $\frac{18}{9}$ = 2

Answer 2

7v-(6-2v)=12

Distributing the negative over the parentheses:-

7v-6+2v=12

Adding like terms

9v - 6 = 12

Adding 6 to both sides:-

9v = 18

v = 2 (answer)