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

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

Simplify each term.

Subtract $3$ from $4$ .

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

Multiply $- 3$ by $1$ .

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

Subtract $3$ from $7$ .

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

Multiply $2$ by $4$ .

$- (- 6 + 4 (2 - 5 (4 - 3 + 8)) + 2) - 1$

Subtract $3$ from $4$ .

$- (- 6 + 4 (2 - 5 (1 + 8)) + 2) - 1$

Add $1$ and $8$ .

$- (- 6 + 4 (2 - 5 \cdot 9) + 2) - 1$

Multiply $- 5$ by $9$ .

$- (- 6 + 4 (2 - 45) + 2) - 1$

Subtract $45$ from $2$ .

$- (- 6 + 4 \cdot - 43 + 2) - 1$

Multiply $4$ by $- 43$ .

$- (- 6 - 172 + 2) - 1$

Subtract $172$ from $- 6$ .

$- (- 178 + 2) - 1$

Add $- 178$ and $2$ .

$- - 176 - 1$

Multiply $- 1$ by $- 176$ .

$176 - 1$

Subtract $1$ from $176$ .

$175$