Simplify -(8a-6b-c)+(2a+8b+c)

$- (8 a - 6 b - c) + (2 a + 8 b + c)$

Remove parentheses.

$- (8 a - 6 b - c) + 2 a + 8 b + c$

Simplify each term.

Apply the distributive property.

$- (8 a) - (- 6 b) - - c + 2 a + 8 b + c$

Simplify.

Multiply $8$ by $- 1$ .

$- 8 a - (- 6 b) - - c + 2 a + 8 b + c$

Multiply $- 6$ by $- 1$ .

$- 8 a + 6 b - - c + 2 a + 8 b + c$

Multiply $- - c$ .

Multiply $- 1$ by $- 1$ .

$- 8 a + 6 b + 1 c + 2 a + 8 b + c$

Multiply $c$ by $1$ .

$- 8 a + 6 b + c + 2 a + 8 b + c$

$- 8 a + 6 b + c + 2 a + 8 b + c$

$- 8 a + 6 b + c + 2 a + 8 b + c$

$- 8 a + 6 b + c + 2 a + 8 b + c$

Simplify by adding terms.

Add $- 8 a$ and $2 a$ .

$- 6 a + 6 b + c + 8 b + c$

Add $6 b$ and $8 b$ .

$- 6 a + 14 b + c + c$

Add $c$ and $c$ .

$- 6 a + 14 b + 2 c$

$- 6 a + 14 b + 2 c$

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