A+(B+C)=(A+B)+C

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Solution for A+(B+C)=(A+B)+C equation:


Simplifying
A + (B + C) = (A + B) + C

Remove parenthesis around (B + C)
A + B + C = (A + B) + C

Remove parenthesis around (A + B)
A + B + C = A + B + C

Add '-1A' to each side of the equation.
A + B + -1A + C = A + B + -1A + C

Reorder the terms:
A + -1A + B + C = A + B + -1A + C

Combine like terms: A + -1A = 0
0 + B + C = A + B + -1A + C
B + C = A + B + -1A + C

Reorder the terms:
B + C = A + -1A + B + C

Combine like terms: A + -1A = 0
B + C = 0 + B + C
B + C = B + C

Add '-1B' to each side of the equation.
B + -1B + C = B + -1B + C

Combine like terms: B + -1B = 0
0 + C = B + -1B + C
C = B + -1B + C

Combine like terms: B + -1B = 0
C = 0 + C
C = C

Add '-1C' to each side of the equation.
C + -1C = C + -1C

Combine like terms: C + -1C = 0
0 = C + -1C

Combine like terms: C + -1C = 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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