Given:
[tex]7v-(6-2v)=12[/tex]
Our first step would be to distribute the (6-2v) by -1, since there is an understood -1 in front of the parenthesis. We are then left with:
[tex]7v-6+2v=12[/tex]
Combine like terms.
[tex]9v-6=12[/tex]
Add 6 to both sides to isolate 9v on one side of the equation.
[tex]9v=18[/tex]
Divide both sides by 9 to isolate v.
[tex]\frac{9v}{9}=\frac{18}{9}[/tex]
Simplify.
[tex] v=2 [/tex]
