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

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


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

Reorder the terms:
(a + b + -1c) + (b + c + -1a) = 0

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

Reorder the terms:
a + b + -1c + (-1a + b + c) = 0

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

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

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

Combine like terms: b + b = 2b
2b + -1c + c = 0

Combine like terms: -1c + c = 0
2b + 0 = 0
2b = 0

Solving
2b = 0

Solving for variable 'b'.

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

Divide each side by '2'.
b = 0

Simplifying
b = 0

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