Simplify -4z(-4+5z)-2z(9+z)

$- 4 z (- 4 + 5 z) - 2 z (9 + z)$

Simplify each term.

Apply the distributive property.

$- 4 z \cdot - 4 - 4 z (5 z) - 2 z (9 + z)$

Multiply $- 4$ by $- 4$ .

$16 z - 4 z (5 z) - 2 z (9 + z)$

Rewrite using the commutative property of multiplication.

$16 z - 4 \cdot 5 z \cdot z - 2 z (9 + z)$

Simplify each term.

Multiply $z$ by $z$ by adding the exponents.

Move $z$ .

$16 z - 4 \cdot 5 (z \cdot z) - 2 z (9 + z)$

Multiply $z$ by $z$ .

$16 z - 4 \cdot 5 z^{2} - 2 z (9 + z)$

$16 z - 4 \cdot 5 z^{2} - 2 z (9 + z)$

Multiply $- 4$ by $5$ .

$16 z - 20 z^{2} - 2 z (9 + z)$

$16 z - 20 z^{2} - 2 z (9 + z)$

Apply the distributive property.

$16 z - 20 z^{2} - 2 z \cdot 9 - 2 z \cdot z$

Multiply $9$ by $- 2$ .

$16 z - 20 z^{2} - 18 z - 2 z \cdot z$

Multiply $z$ by $z$ by adding the exponents.

Move $z$ .

$16 z - 20 z^{2} - 18 z - 2 (z \cdot z)$

Multiply $z$ by $z$ .

$16 z - 20 z^{2} - 18 z - 2 z^{2}$

$16 z - 20 z^{2} - 18 z - 2 z^{2}$

$16 z - 20 z^{2} - 18 z - 2 z^{2}$

Simplify by adding terms.

Subtract $18 z$ from $16 z$ .

$- 20 z^{2} - 2 z - 2 z^{2}$

Subtract $2 z^{2}$ from $- 20 z^{2}$ .

$- 22 z^{2} - 2 z$

$- 22 z^{2} - 2 z$

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