Solve for v -3v+12v+6=7v+30

$- 3 v + 12 v + 6 = 7 v + 30$

Step 1

Add $- 3 v$ and $12 v$ .

$9 v + 6 = 7 v + 30$

Step 2

Move all terms containing $v$ to the left side of the equation.

Subtract $7 v$ from both sides of the equation.

$9 v + 6 - 7 v = 30$

Subtract $7 v$ from $9 v$ .

$2 v + 6 = 30$

Step 3

Move all terms not containing $v$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$2 v = 30 - 6$

Subtract $6$ from $30$ .

$2 v = 24$

Step 4

Divide each term in $2 v = 24$ by $2$ and simplify.

Divide each term in $2 v = 24$ by $2$ .

$\frac{2 v}{2} = \frac{24}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 v}{2} = \frac{24}{2}$

Divide $v$ by $1$ .

$v = \frac{24}{2}$

Simplify the right side.

Divide $24$ by $2$ .

$v = 12$