(7m+3n)+(n+5)-(-m-3n+8)=0

Solution for (7m+3n)+(n+5)-(-m-3n+8)=0 equation:

Simplifying
(7m + 3n) + (n + 5) + -1(-1m + -3n + 8) = 0

Remove parenthesis around (7m + 3n)
7m + 3n + (n + 5) + -1(-1m + -3n + 8) = 0

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

Remove parenthesis around (5 + n)
7m + 3n + 5 + n + -1(-1m + -3n + 8) = 0

Reorder the terms:
7m + 3n + 5 + n + -1(8 + -1m + -3n) = 0
7m + 3n + 5 + n + (8 * -1 + -1m * -1 + -3n * -1) = 0
7m + 3n + 5 + n + (-8 + 1m + 3n) = 0

Reorder the terms:
5 + -8 + 7m + 1m + 3n + n + 3n = 0

Combine like terms: 5 + -8 = -3
-3 + 7m + 1m + 3n + n + 3n = 0

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

Combine like terms: 3n + n = 4n
-3 + 8m + 4n + 3n = 0

Combine like terms: 4n + 3n = 7n
-3 + 8m + 7n = 0

Solving
-3 + 8m + 7n = 0

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 8m + 3 + 7n = 0 + 3

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

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

Combine like terms: 0 + 3 = 3
8m + 7n = 3

Add '-7n' to each side of the equation.
8m + 7n + -7n = 3 + -7n

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

Divide each side by '8'.
m = 0.375 + -0.875n

Simplifying
m = 0.375 + -0.875n