Solve for v -4v+13v+5=6v+32

$- 4 v + 13 v + 5 = 6 v + 32$

Step 1

Add $- 4 v$ and $13 v$ .

$9 v + 5 = 6 v + 32$

Step 2

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

Subtract $6 v$ from both sides of the equation.

$9 v + 5 - 6 v = 32$

Subtract $6 v$ from $9 v$ .

$3 v + 5 = 32$

Step 3

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

Subtract $5$ from both sides of the equation.

$3 v = 32 - 5$

Subtract $5$ from $32$ .

$3 v = 27$

Step 4

Divide each term in $3 v = 27$ by $3$ and simplify.

Divide each term in $3 v = 27$ by $3$ .

$\frac{3 v}{3} = \frac{27}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 v}{3} = \frac{27}{3}$

Divide $v$ by $1$ .

$v = \frac{27}{3}$

Simplify the right side.

Divide $27$ by $3$ .

$v = 9$