Solve for k 8=-12+k/-4

$8 = - 12 + \frac{k}{- 4}$

Rewrite the equation as $- 12 + \frac{k}{- 4} = 8$ .

$- 12 + \frac{k}{- 4} = 8$

Move the negative in front of the fraction.

$- 12 - \frac{k}{4} = 8$

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

Add $12$ to both sides of the equation.

$- \frac{k}{4} = 8 + 12$

Add $8$ and $12$ .

$- \frac{k}{4} = 20$

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{k}{4}) = - 4 \cdot 20$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 (- \frac{k}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{k}{4}$ into the numerator.

$- 4 \frac{- k}{4} = - 4 \cdot 20$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- k}{4} = - 4 \cdot 20$

Cancel the common factor.

$4 \cdot - 1 \frac{- k}{4} = - 4 \cdot 20$

Rewrite the expression.

$- - k = - 4 \cdot 20$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 k = - 4 \cdot 20$

Multiply $k$ by $1$ .

$k = - 4 \cdot 20$

Simplify the right side.

Multiply $- 4$ by $20$ .

$k = - 80$