Solve for z 5=z/-4-3

$5 = \frac{z}{- 4} - 3$

Rewrite the equation as $\frac{z}{- 4} - 3 = 5$ .

$\frac{z}{- 4} - 3 = 5$

Move the negative in front of the fraction.

$- \frac{z}{4} - 3 = 5$

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

Add $3$ to both sides of the equation.

$- \frac{z}{4} = 5 + 3$

Add $5$ and $3$ .

$- \frac{z}{4} = 8$

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

$- 4 (- \frac{z}{4}) = - 4 \cdot 8$

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $4$ .

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

$- 4 \frac{- z}{4} = - 4 \cdot 8$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- z}{4} = - 4 \cdot 8$

Cancel the common factor.

$4 \cdot - 1 \frac{- z}{4} = - 4 \cdot 8$

Rewrite the expression.

$- - z = - 4 \cdot 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 z = - 4 \cdot 8$

Multiply $z$ by $1$ .

$z = - 4 \cdot 8$

Simplify the right side.

Multiply $- 4$ by $8$ .

$z = - 32$