Solve for v 15v-2v+29=5v-27

$15 v - 2 v + 29 = 5 v - 27$

Subtract $2 v$ from $15 v$ .

$13 v + 29 = 5 v - 27$

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

Subtract $5 v$ from both sides of the equation.

$13 v + 29 - 5 v = - 27$

Subtract $5 v$ from $13 v$ .

$8 v + 29 = - 27$

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

Subtract $29$ from both sides of the equation.

$8 v = - 27 - 29$

Subtract $29$ from $- 27$ .

$8 v = - 56$

Divide each term in $8 v = - 56$ by $8$ and simplify.

Divide each term in $8 v = - 56$ by $8$ .

$\frac{8 v}{8} = \frac{- 56}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 v}{8} = \frac{- 56}{8}$

Divide $v$ by $1$ .

$v = \frac{- 56}{8}$

Simplify the right side.

Divide $- 56$ by $8$ .

$v = - 7$