Evaluate -4(z+3)-4(5-4z)

$- 4 (z + 3) - 4 (5 - 4 z)$

Simplify each term.

Apply the distributive property.

$- 4 z - 4 \cdot 3 - 4 (5 - 4 z)$

Multiply $- 4$ by $3$ .

$- 4 z - 12 - 4 (5 - 4 z)$

Apply the distributive property.

$- 4 z - 12 - 4 \cdot 5 - 4 (- 4 z)$

Multiply $- 4$ by $5$ .

$- 4 z - 12 - 20 - 4 (- 4 z)$

Multiply $- 4$ by $- 4$ .

$- 4 z - 12 - 20 + 16 z$

$- 4 z - 12 - 20 + 16 z$

Simplify by adding terms.

Add $- 4 z$ and $16 z$ .

$12 z - 12 - 20$

Subtract $20$ from $- 12$ .

$12 z - 32$

$12 z - 32$

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