(mn+2m-5)+(mn+7)=2mn+2m+2

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Solution for (mn+2m-5)+(mn+7)=2mn+2m+2 equation:


Simplifying
(mn + 2m + -5) + (mn + 7) = 2mn + 2m + 2

Reorder the terms:
(-5 + 2m + mn) + (mn + 7) = 2mn + 2m + 2

Remove parenthesis around (-5 + 2m + mn)
-5 + 2m + mn + (mn + 7) = 2mn + 2m + 2

Reorder the terms:
-5 + 2m + mn + (7 + mn) = 2mn + 2m + 2

Remove parenthesis around (7 + mn)
-5 + 2m + mn + 7 + mn = 2mn + 2m + 2

Reorder the terms:
-5 + 7 + 2m + mn + mn = 2mn + 2m + 2

Combine like terms: -5 + 7 = 2
2 + 2m + mn + mn = 2mn + 2m + 2

Combine like terms: mn + mn = 2mn
2 + 2m + 2mn = 2mn + 2m + 2

Reorder the terms:
2 + 2m + 2mn = 2 + 2m + 2mn

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

Reorder the terms:
2 + -2 + 2m + 2mn = 2 + 2m + -2 + 2mn

Combine like terms: 2 + -2 = 0
0 + 2m + 2mn = 2 + 2m + -2 + 2mn
2m + 2mn = 2 + 2m + -2 + 2mn

Reorder the terms:
2m + 2mn = 2 + -2 + 2m + 2mn

Combine like terms: 2 + -2 = 0
2m + 2mn = 0 + 2m + 2mn
2m + 2mn = 2m + 2mn

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

Combine like terms: 2m + -2m = 0
0 + 2mn = 2m + -2m + 2mn
2mn = 2m + -2m + 2mn

Combine like terms: 2m + -2m = 0
2mn = 0 + 2mn
2mn = 2mn

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

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

Combine like terms: 2mn + -2mn = 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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