Solve for v v-4(5-v)=-60

$v - 4 (5 - v) = - 60$

Simplify $v - 4 (5 - v)$ .

Simplify each term.

Apply the distributive property.

$v - 4 \cdot 5 - 4 (- v) = - 60$

Multiply $- 4$ by $5$ .

$v - 20 - 4 (- v) = - 60$

Multiply $- 1$ by $- 4$ .

$v - 20 + 4 v = - 60$

Add $v$ and $4 v$ .

$5 v - 20 = - 60$

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

Add $20$ to both sides of the equation.

$5 v = - 60 + 20$

Add $- 60$ and $20$ .

$5 v = - 40$

Divide each term in $5 v = - 40$ by $5$ and simplify.

Divide each term in $5 v = - 40$ by $5$ .

$\frac{5 v}{5} = \frac{- 40}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 v}{5} = \frac{- 40}{5}$

Divide $v$ by $1$ .

$v = \frac{- 40}{5}$

Simplify the right side.

Divide $- 40$ by $5$ .

$v = - 8$