Simplify (a-(b-c))-((a-b)-c)

$(a - (b - c)) - ((a - b) - c)$

Simplify each term.

Apply the distributive property.

$a - b - - c - ((a - b) - c)$

Multiply $- - c$ .

Multiply $- 1$ by $- 1$ .

$a - b + 1 c - ((a - b) - c)$

Multiply $c$ by $1$ .

$a - b + c - ((a - b) - c)$

Apply the distributive property.

$a - b + c - a - - b - - c$

Simplify.

Multiply $- - b$ .

Multiply $- 1$ by $- 1$ .

$a - b + c - a + 1 b - - c$

Multiply $b$ by $1$ .

$a - b + c - a + b - - c$

Multiply $- - c$ .

Multiply $- 1$ by $- 1$ .

$a - b + c - a + b + 1 c$

Multiply $c$ by $1$ .

$a - b + c - a + b + c$

Simplify by adding terms.

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

Subtract $a$ from $a$ .

$- b + c + 0 + b + c$

Add $- b + c$ and $0$ .

$- b + c + b + c$

Add $- b$ and $b$ .

$c + 0 + c$

Add $c$ and $0$ .

$c + c$

Add $c$ and $c$ .

$2 c$