Solve for v 16-8v=-8v-20-2v

$16 - 8 v = - 8 v - 20 - 2 v$

Since $v$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 8 v - 20 - 2 v = 16 - 8 v$

Subtract $2 v$ from $- 8 v$ .

$- 10 v - 20 = 16 - 8 v$

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

Add $8 v$ to both sides of the equation.

$- 10 v - 20 + 8 v = 16$

Add $- 10 v$ and $8 v$ .

$- 2 v - 20 = 16$

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

Add $20$ to both sides of the equation.

$- 2 v = 16 + 20$

Add $16$ and $20$ .

$- 2 v = 36$

Divide each term in $- 2 v = 36$ by $- 2$ and simplify.

Divide each term in $- 2 v = 36$ by $- 2$ .

$\frac{- 2 v}{- 2} = \frac{36}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 v}{- 2} = \frac{36}{- 2}$

Divide $v$ by $1$ .

$v = \frac{36}{- 2}$

Simplify the right side.

Divide $36$ by $- 2$ .

$v = - 18$