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

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

Step 1

Simplify each term.

Add $- 3$ and $6$ .

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

Add $3$ and $1$ .

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

Multiply $- 1$ by $4$ .

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

Simplify each term.

Subtract $3$ from $6$ .

$1 - 4 - (4 - (3 + 1) - 2)$

Add $3$ and $1$ .

$1 - 4 - (4 - 1 \cdot 4 - 2)$

Multiply $- 1$ by $4$ .

$1 - 4 - (4 - 4 - 2)$

$1 - 4 - (4 - 4 - 2)$

Subtract $4$ from $4$ .

$1 - 4 - (0 - 2)$

Subtract $2$ from $0$ .

$1 - 4 - - 2$

Multiply $- 1$ by $- 2$ .

$1 - 4 + 2$

$1 - 4 + 2$

Step 2

Simplify by adding and subtracting.

Subtract $4$ from $1$ .

$- 3 + 2$

Add $- 3$ and $2$ .

$- 1$

$- 1$

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