Evaluate 7(12-(6-2)÷4)

$7 (12 - (6 - 2) \div 4)$

Simplify each term.

Rewrite the division as a fraction.

$7 (12 - \frac{6 - 2}{4})$

Cancel the common factor of $6 - 2$ and $4$ .

Factor $2$ out of $6$ .

$7 (12 - \frac{2 (3) - 2}{4})$

Factor $2$ out of $- 2$ .

$7 (12 - \frac{2 \cdot 3 + 2 \cdot - 1}{4})$

Factor $2$ out of $2 \cdot 3 + 2 \cdot - 1$ .

$7 (12 - \frac{2 \cdot (3 - 1)}{4})$

Cancel the common factors.

Factor $2$ out of $4$ .

$7 (12 - \frac{2 \cdot (3 - 1)}{2 (2)})$

Cancel the common factor.

$7 (12 - \frac{2 \cdot (3 - 1)}{2 \cdot 2})$

Rewrite the expression.

$7 (12 - \frac{3 - 1}{2})$

$7 (12 - \frac{3 - 1}{2})$

$7 (12 - \frac{3 - 1}{2})$

Subtract $1$ from $3$ .

$7 (12 - \frac{2}{2})$

Cancel the common factor of $2$ .

Cancel the common factor.

$7 (12 - \frac{2}{2})$

Rewrite the expression.

$7 (12 - 1 \cdot 1)$

$7 (12 - 1 \cdot 1)$

Multiply $- 1$ by $1$ .

$7 (12 - 1)$

$7 (12 - 1)$

Simplify the expression.

Subtract $1$ from $12$ .

$7 \cdot 11$

Multiply $7$ by $11$ .

$77$

$77$

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