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

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

Apply the distributive property.

$a - 2 a + b - - a - b - - c + a$

Simplify.

Multiply $- - a$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $a$ by $1$ .

$a - 2 a + b + a - b - - c + a$

Multiply $- - c$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $c$ by $1$ .

$a - 2 a + b + a - b + c + a$

Step 3

Simplify by adding terms.

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

Subtract $b$ from $b$ .

$a - 2 a + a + 0 + c + a$

Add $a - 2 a + a$ and $0$ .

$a - 2 a + a + c + a$

Subtract $2 a$ from $a$ .

$- a + a + c + a$

Add $- a$ and $a$ .

$0 + c + a$

Add $0$ and $c$ .

$c + a$