Solve for v -63=4v-8v-15

$- 63 = 4 v - 8 v - 15$

Step 1

Rewrite the equation as $4 v - 8 v - 15 = - 63$ .

$4 v - 8 v - 15 = - 63$

Step 2

Subtract $8 v$ from $4 v$ .

$- 4 v - 15 = - 63$

Step 3

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

Add $15$ to both sides of the equation.

$- 4 v = - 63 + 15$

Add $- 63$ and $15$ .

$- 4 v = - 48$

Step 4

Divide each term in $- 4 v = - 48$ by $- 4$ and simplify.

Divide each term in $- 4 v = - 48$ by $- 4$ .

$\frac{- 4 v}{- 4} = \frac{- 48}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 v}{- 4} = \frac{- 48}{- 4}$

Divide $v$ by $1$ .

$v = \frac{- 48}{- 4}$

Simplify the right side.

Divide $- 48$ by $- 4$ .

$v = 12$