m+(n+p)=(m+n)+p

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Solution for m+(n+p)=(m+n)+p equation:


Simplifying
m + (n + p) = (m + n) + p

Remove parenthesis around (n + p)
m + n + p = (m + n) + p

Remove parenthesis around (m + n)
m + n + p = m + n + p

Add '-1m' to each side of the equation.
m + n + -1m + p = m + n + -1m + p

Reorder the terms:
m + -1m + n + p = m + n + -1m + p

Combine like terms: m + -1m = 0
0 + n + p = m + n + -1m + p
n + p = m + n + -1m + p

Reorder the terms:
n + p = m + -1m + n + p

Combine like terms: m + -1m = 0
n + p = 0 + n + p
n + p = n + p

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

Combine like terms: n + -1n = 0
0 + p = n + -1n + p
p = n + -1n + p

Combine like terms: n + -1n = 0
p = 0 + p
p = p

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

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

Combine like terms: p + -1p = 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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