Simplify (-4)*2-32÷(12-4)

$(- 4) \cdot 2 - 32 \div (12 - 4)$

Step 1

Simplify each term.

Multiply $- 4$ by $2$ .

$- 8 - 32 \div (12 - 4)$

Rewrite the division as a fraction.

$- 8 - \frac{32}{12 - 4}$

Cancel the common factor of $32$ and $12 - 4$ .

Factor $4$ out of $32$ .

$- 8 - \frac{4 (8)}{12 - 4}$

Cancel the common factors.

Factor $4$ out of $12$ .

$- 8 - \frac{4 \cdot 8}{4 \cdot 3 - 4}$

Factor $4$ out of $- 4$ .

$- 8 - \frac{4 (8)}{4 \cdot 3 + 4 \cdot - 1}$

Factor $4$ out of $4 \cdot 3 + 4 \cdot - 1$ .

$- 8 - \frac{4 (8)}{4 \cdot (3 - 1)}$

Cancel the common factor.

$- 8 - \frac{4 \cdot 8}{4 \cdot (3 - 1)}$

Rewrite the expression.

$- 8 - \frac{8}{3 - 1}$

$- 8 - \frac{8}{3 - 1}$

$- 8 - \frac{8}{3 - 1}$

Subtract $1$ from $3$ .

$- 8 - \frac{8}{2}$

Divide $8$ by $2$ .

$- 8 - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 8 - 4$

$- 8 - 4$

Step 2

Subtract $4$ from $- 8$ .

$- 12$

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