7m+3n-[11-2m+n+5]-(-m)-3n+8=

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Solution for 7m+3n-[11-2m+n+5]-(-m)-3n+8= equation: 


Simplifying
7m + 3n + -1[11 + -2m + n + 5] + -1(-1m) + -3n + 8 = 0

Reorder the terms:
7m + 3n + -1[11 + 5 + -2m + n] + -1(-1m) + -3n + 8 = 0

Combine like terms: 11 + 5 = 16
7m + 3n + -1[16 + -2m + n] + -1(-1m) + -3n + 8 = 0
7m + 3n + [16 * -1 + -2m * -1 + n * -1] + -1(-1m) + -3n + 8 = 0
7m + 3n + [-16 + 2m + -1n] + -1(-1m) + -3n + 8 = 0

Remove parenthesis around (-1m)
7m + 3n + -16 + 2m + -1n + -1 * -1m + -3n + 8 = 0

Multiply -1 * -1
7m + 3n + -16 + 2m + -1n + 1m + -3n + 8 = 0

Reorder the terms:
-16 + 8 + 7m + 2m + 1m + 3n + -1n + -3n = 0

Combine like terms: -16 + 8 = -8
-8 + 7m + 2m + 1m + 3n + -1n + -3n = 0

Combine like terms: 7m + 2m = 9m
-8 + 9m + 1m + 3n + -1n + -3n = 0

Combine like terms: 9m + 1m = 10m
-8 + 10m + 3n + -1n + -3n = 0

Combine like terms: 3n + -1n = 2n
-8 + 10m + 2n + -3n = 0

Combine like terms: 2n + -3n = -1n
-8 + 10m + -1n = 0

Solving
-8 + 10m + -1n = 0

Solving for variable 'm'.

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

Add '8' to each side of the equation.
-8 + 10m + 8 + -1n = 0 + 8

Reorder the terms:
-8 + 8 + 10m + -1n = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 10m + -1n = 0 + 8
10m + -1n = 0 + 8

Combine like terms: 0 + 8 = 8
10m + -1n = 8

Add 'n' to each side of the equation.
10m + -1n + n = 8 + n

Combine like terms: -1n + n = 0
10m + 0 = 8 + n
10m = 8 + n

Divide each side by '10'.
m = 0.8 + 0.1n

Simplifying
m = 0.8 + 0.1n

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