Simplify -(6a-3b)-(5a-9b-(2c-9b))

$- (6 a - 3 b) - (5 a - 9 b - (2 c - 9 b))$

Simplify each term.

Apply the distributive property.

$- (6 a) - (- 3 b) - (5 a - 9 b - (2 c - 9 b))$

Multiply $6$ by $- 1$ .

$- 6 a - (- 3 b) - (5 a - 9 b - (2 c - 9 b))$

Multiply $- 3$ by $- 1$ .

$- 6 a + 3 b - (5 a - 9 b - (2 c - 9 b))$

Simplify each term.

Apply the distributive property.

$- 6 a + 3 b - (5 a - 9 b - (2 c) - (- 9 b))$

Multiply $2$ by $- 1$ .

$- 6 a + 3 b - (5 a - 9 b - 2 c - (- 9 b))$

Multiply $- 9$ by $- 1$ .

$- 6 a + 3 b - (5 a - 9 b - 2 c + 9 b)$

$- 6 a + 3 b - (5 a - 9 b - 2 c + 9 b)$

Combine the opposite terms in $5 a - 9 b - 2 c + 9 b$ .

Add $- 9 b$ and $9 b$ .

$- 6 a + 3 b - (5 a - 2 c + 0)$

Add $5 a - 2 c$ and $0$ .

$- 6 a + 3 b - (5 a - 2 c)$

$- 6 a + 3 b - (5 a - 2 c)$

Apply the distributive property.

$- 6 a + 3 b - (5 a) - (- 2 c)$

Multiply $5$ by $- 1$ .

$- 6 a + 3 b - 5 a - (- 2 c)$

Multiply $- 2$ by $- 1$ .

$- 6 a + 3 b - 5 a + 2 c$

$- 6 a + 3 b - 5 a + 2 c$

Subtract $5 a$ from $- 6 a$ .

$- 11 a + 3 b + 2 c$

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