Simplify a+(a-b)+(-a+b)

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

Step 1

Remove parentheses.

$a + a - b - a + b$

Step 2

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

Subtract $a$ from $a$ .

$a - b + 0 + b$

Add $a - b$ and $0$ .

$a - b + b$

Add $- b$ and $b$ .

$a + 0$

Add $a$ and $0$ .

$a$