Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Rewrite using the commutative property of multiplication.

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

Step 1.3

Multiply $- 4$ by $- 1$ .

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

Step 1.4

Multiply $- 1$ by $2$ .

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

Step 2

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

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Step 2.1

Subtract $4 d$ from $4 d$ .

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

Step 2.2

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

$- 3 c d - 2 d c$

Step 3

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

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Step 3.1

Move $d$ .

$- 3 c d - 2 c d$

Step 3.2

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

$- 5 c d$