Simplify -(-2a+13)+(-9a-2)-(-7a-3)

$- (- 2 a + 13) + (- 9 a - 2) - (- 7 a - 3)$

Step 1

Remove parentheses.

$- (- 2 a + 13) - 9 a - 2 - (- 7 a - 3)$

Step 2

Simplify each term.

Apply the distributive property.

$- (- 2 a) - 1 \cdot 13 - 9 a - 2 - (- 7 a - 3)$

Multiply $- 2$ by $- 1$ .

$2 a - 1 \cdot 13 - 9 a - 2 - (- 7 a - 3)$

Multiply $- 1$ by $13$ .

$2 a - 13 - 9 a - 2 - (- 7 a - 3)$

Apply the distributive property.

$2 a - 13 - 9 a - 2 - (- 7 a) - - 3$

Multiply $- 7$ by $- 1$ .

$2 a - 13 - 9 a - 2 + 7 a - - 3$

Multiply $- 1$ by $- 3$ .

$2 a - 13 - 9 a - 2 + 7 a + 3$

Step 3

Simplify by adding terms.

Subtract $9 a$ from $2 a$ .

$- 7 a - 13 - 2 + 7 a + 3$

Combine the opposite terms in $- 7 a - 13 - 2 + 7 a + 3$ .

Add $- 7 a$ and $7 a$ .

$0 - 13 - 2 + 3$

Subtract $13$ from $0$ .

$- 13 - 2 + 3$

Simplify by adding and subtracting.

Subtract $2$ from $- 13$ .

$- 15 + 3$

Add $- 15$ and $3$ .

$- 12$