Solve for v 19=-8v-4v-17

$19 = - 8 v - 4 v - 17$

Rewrite the equation as $- 8 v - 4 v - 17 = 19$ .

$- 8 v - 4 v - 17 = 19$

Subtract $4 v$ from $- 8 v$ .

$- 12 v - 17 = 19$

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

Add $17$ to both sides of the equation.

$- 12 v = 19 + 17$

Add $19$ and $17$ .

$- 12 v = 36$

Divide each term in $- 12 v = 36$ by $- 12$ and simplify.

Divide each term in $- 12 v = 36$ by $- 12$ .

$\frac{- 12 v}{- 12} = \frac{36}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 v}{- 12} = \frac{36}{- 12}$

Divide $v$ by $1$ .

$v = \frac{36}{- 12}$

Simplify the right side.

Divide $36$ by $- 12$ .

$v = - 3$