(11-2m)-(n+5)+(-m-3n+8)=0

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Solution for (11-2m)-(n+5)+(-m-3n+8)=0 equation: 


Simplifying
(11 + -2m) + -1(n + 5) + (-1m + -3n + 8) = 0

Remove parenthesis around (11 + -2m)
11 + -2m + -1(n + 5) + (-1m + -3n + 8) = 0

Reorder the terms:
11 + -2m + -1(5 + n) + (-1m + -3n + 8) = 0
11 + -2m + (5 * -1 + n * -1) + (-1m + -3n + 8) = 0
11 + -2m + (-5 + -1n) + (-1m + -3n + 8) = 0

Reorder the terms:
11 + -2m + -5 + -1n + (8 + -1m + -3n) = 0

Remove parenthesis around (8 + -1m + -3n)
11 + -2m + -5 + -1n + 8 + -1m + -3n = 0

Reorder the terms:
11 + -5 + 8 + -2m + -1m + -1n + -3n = 0

Combine like terms: 11 + -5 = 6
6 + 8 + -2m + -1m + -1n + -3n = 0

Combine like terms: 6 + 8 = 14
14 + -2m + -1m + -1n + -3n = 0

Combine like terms: -2m + -1m = -3m
14 + -3m + -1n + -3n = 0

Combine like terms: -1n + -3n = -4n
14 + -3m + -4n = 0

Solving
14 + -3m + -4n = 0

Solving for variable 'm'.

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

Add '-14' to each side of the equation.
14 + -3m + -14 + -4n = 0 + -14

Reorder the terms:
14 + -14 + -3m + -4n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3m + -4n = 0 + -14
-3m + -4n = 0 + -14

Combine like terms: 0 + -14 = -14
-3m + -4n = -14

Add '4n' to each side of the equation.
-3m + -4n + 4n = -14 + 4n

Combine like terms: -4n + 4n = 0
-3m + 0 = -14 + 4n
-3m = -14 + 4n

Divide each side by '-3'.
m = 4.666666667 + -1.333333333n

Simplifying
m = 4.666666667 + -1.333333333n

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