Simplify 2a-4b-3(a-2b-2)

$2 a - 4 b - 3 (a - 2 b - 2)$

Step 1

Simplify each term.

Apply the distributive property.

$2 a - 4 b - 3 a - 3 (- 2 b) - 3 \cdot - 2$

Simplify.

Multiply $- 2$ by $- 3$ .

$2 a - 4 b - 3 a + 6 b - 3 \cdot - 2$

Multiply $- 3$ by $- 2$ .

$2 a - 4 b - 3 a + 6 b + 6$

$2 a - 4 b - 3 a + 6 b + 6$

$2 a - 4 b - 3 a + 6 b + 6$

Step 2

Simplify by adding terms.

Subtract $3 a$ from $2 a$ .

$- a - 4 b + 6 b + 6$

Add $- 4 b$ and $6 b$ .

$- a + 2 b + 6$

$- a + 2 b + 6$

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