Simplify -3cd-d(2c-4)-4d

$- 3 c d - d (2 c - 4) - 4 d$

Simplify each term.

Apply the distributive property.

$- 3 c d - d (2 c) - d \cdot - 4 - 4 d$

Rewrite using the commutative property of multiplication.

$- 3 c d - 1 \cdot 2 d c - d \cdot - 4 - 4 d$

Multiply $- 4$ by $- 1$ .

$- 3 c d - 1 \cdot 2 d c + 4 d - 4 d$

Multiply $- 1$ by $2$ .

$- 3 c d - 2 d c + 4 d - 4 d$

Combine the opposite terms in $- 3 c d - 2 d c + 4 d - 4 d$ .

Subtract $4 d$ from $4 d$ .

$- 3 c d - 2 d c + 0$

Add $- 3 c d - 2 d c$ and $0$ .

$- 3 c d - 2 d c$

Subtract $2 d c$ from $- 3 c d$ .

Move $d$ .

$- 3 c d - 2 c d$

Subtract $2 c d$ from $- 3 c d$ .

$- 5 c d$