Evaluate -1/4(20z+24)

$- \frac{1}{4} (20 z + 24)$

Step 1

Apply the distributive property.

$- \frac{1}{4} (20 z) - \frac{1}{4} \cdot 24$

Step 2

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$\frac{- 1}{4} (20 z) - \frac{1}{4} \cdot 24$

Factor $4$ out of $20 z$ .

$\frac{- 1}{4} (4 (5 z)) - \frac{1}{4} \cdot 24$

Cancel the common factor.

$\frac{- 1}{4} (4 (5 z)) - \frac{1}{4} \cdot 24$

Rewrite the expression.

$- 1 (5 z) - \frac{1}{4} \cdot 24$

Step 3

Multiply $5$ by $- 1$ .

$- 5 z - \frac{1}{4} \cdot 24$

Step 4

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$- 5 z + \frac{- 1}{4} \cdot 24$

Factor $4$ out of $24$ .

$- 5 z + \frac{- 1}{4} \cdot (4 (6))$

Cancel the common factor.

$- 5 z + \frac{- 1}{4} \cdot (4 \cdot 6)$

Rewrite the expression.

$- 5 z - 1 \cdot 6$

Step 5

Multiply $- 1$ by $6$ .

$- 5 z - 6$