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

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


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

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

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

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

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

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

Combine like terms: (-1b) + b = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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