(a+b)+(a-b)=2a

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Solution for (a+b)+(a-b)=2a equation:


Simplifying
(a + b) + (a + -1b) = 2a

Remove parenthesis around (a + b)
a + b + (a + -1b) = 2a

Remove parenthesis around (a + -1b)
a + b + a + -1b = 2a

Reorder the terms:
a + a + b + -1b = 2a

Combine like terms: a + a = 2a
2a + b + -1b = 2a

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

Add '-2a' to each side of the equation.
2a + -2a = 2a + -2a

Combine like terms: 2a + -2a = 0
0 = 2a + -2a

Combine like terms: 2a + -2a = 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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