Solve for v -5(19v-18)-11v=8(-20v-9)

$- 5 (19 v - 18) - 11 v = 8 (- 20 v - 9)$

Simplify $- 5 (19 v - 18) - 11 v$ .

Simplify each term.

Apply the distributive property.

$- 5 (19 v) - 5 \cdot - 18 - 11 v = 8 (- 20 v - 9)$

Multiply $19$ by $- 5$ .

$- 95 v - 5 \cdot - 18 - 11 v = 8 (- 20 v - 9)$

Multiply $- 5$ by $- 18$ .

$- 95 v + 90 - 11 v = 8 (- 20 v - 9)$

Subtract $11 v$ from $- 95 v$ .

$- 106 v + 90 = 8 (- 20 v - 9)$

Simplify $8 (- 20 v - 9)$ .

Apply the distributive property.

$- 106 v + 90 = 8 (- 20 v) + 8 \cdot - 9$

Multiply.

Multiply $- 20$ by $8$ .

$- 106 v + 90 = - 160 v + 8 \cdot - 9$

Multiply $8$ by $- 9$ .

$- 106 v + 90 = - 160 v - 72$

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

Add $160 v$ to both sides of the equation.

$- 106 v + 90 + 160 v = - 72$

Add $- 106 v$ and $160 v$ .

$54 v + 90 = - 72$

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

Subtract $90$ from both sides of the equation.

$54 v = - 72 - 90$

Subtract $90$ from $- 72$ .

$54 v = - 162$

Divide each term in $54 v = - 162$ by $54$ and simplify.

Divide each term in $54 v = - 162$ by $54$ .

$\frac{54 v}{54} = \frac{- 162}{54}$

Simplify the left side.

Cancel the common factor of $54$ .

Cancel the common factor.

$\frac{54 v}{54} = \frac{- 162}{54}$

Divide $v$ by $1$ .

$v = \frac{- 162}{54}$

Simplify the right side.

Divide $- 162$ by $54$ .

$v = - 3$