(a-b)-(a-b)+(a-b)=

Solution for (a-b)-(a-b)+(a-b)= equation:

Simplifying
(a + -1b) + -1(a + -1b) + (a + -1b) = 0

Remove parenthesis around (a + -1b)
a + -1b + -1(a + -1b) + (a + -1b) = 0
a + -1b + (a * -1 + -1b * -1) + (a + -1b) = 0
a + -1b + (-1a + 1b) + (a + -1b) = 0

Remove parenthesis around (a + -1b)
a + -1b + -1a + 1b + a + -1b = 0

Reorder the terms:
a + -1a + a + -1b + 1b + -1b = 0

Combine like terms: a + -1a = 0
0 + a + -1b + 1b + -1b = 0
a + -1b + 1b + -1b = 0

Combine like terms: -1b + 1b = 0
a + 0 + -1b = 0
a + -1b = 0

Solving
a + -1b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add 'b' to each side of the equation.
a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b

Simplifying
a = b