Evaluate 6-(4-3(4-2))-(7-5(4-2(7-1)))

$6 - (4 - 3 (4 - 2)) - (7 - 5 (4 - 2 (7 - 1)))$

Simplify each term.

Simplify each term.

Subtract $2$ from $4$ .

$6 - (4 - 3 \cdot 2) - (7 - 5 (4 - 2 (7 - 1)))$

Multiply $- 3$ by $2$ .

$6 - (4 - 6) - (7 - 5 (4 - 2 (7 - 1)))$

$6 - (4 - 6) - (7 - 5 (4 - 2 (7 - 1)))$

Subtract $6$ from $4$ .

$6 - - 2 - (7 - 5 (4 - 2 (7 - 1)))$

Multiply $- 1$ by $- 2$ .

$6 + 2 - (7 - 5 (4 - 2 (7 - 1)))$

Simplify each term.

Simplify each term.

Subtract $1$ from $7$ .

$6 + 2 - (7 - 5 (4 - 2 \cdot 6))$

Multiply $- 2$ by $6$ .

$6 + 2 - (7 - 5 (4 - 12))$

$6 + 2 - (7 - 5 (4 - 12))$

Subtract $12$ from $4$ .

$6 + 2 - (7 - 5 \cdot - 8)$

Multiply $- 5$ by $- 8$ .

$6 + 2 - (7 + 40)$

$6 + 2 - (7 + 40)$

Add $7$ and $40$ .

$6 + 2 - 1 \cdot 47$

Multiply $- 1$ by $47$ .

$6 + 2 - 47$

$6 + 2 - 47$

Simplify by adding and subtracting.

Add $6$ and $2$ .

$8 - 47$

Subtract $47$ from $8$ .

$- 39$

$- 39$

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