(5m+2n)+(n-3m)+(7-3n)=0

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Solution for (5m+2n)+(n-3m)+(7-3n)=0 equation:


Simplifying
(5m + 2n) + (n + -3m) + (7 + -3n) = 0

Remove parenthesis around (5m + 2n)
5m + 2n + (n + -3m) + (7 + -3n) = 0

Reorder the terms:
5m + 2n + (-3m + n) + (7 + -3n) = 0

Remove parenthesis around (-3m + n)
5m + 2n + -3m + n + (7 + -3n) = 0

Remove parenthesis around (7 + -3n)
5m + 2n + -3m + n + 7 + -3n = 0

Reorder the terms:
7 + 5m + -3m + 2n + n + -3n = 0

Combine like terms: 5m + -3m = 2m
7 + 2m + 2n + n + -3n = 0

Combine like terms: 2n + n = 3n
7 + 2m + 3n + -3n = 0

Combine like terms: 3n + -3n = 0
7 + 2m + 0 = 0
7 + 2m = 0

Solving
7 + 2m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = 0 + -7
2m = 0 + -7

Combine like terms: 0 + -7 = -7
2m = -7

Divide each side by '2'.
m = -3.5

Simplifying
m = -3.5

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