7m+2n-3+8n-5m+6=

Solution for 7m+2n-3+8n-5m+6= equation:

Simplifying
7m + 2n + -3 + 8n + -5m + 6 = 0

Reorder the terms:
-3 + 6 + 7m + -5m + 2n + 8n = 0

Combine like terms: -3 + 6 = 3
3 + 7m + -5m + 2n + 8n = 0

Combine like terms: 7m + -5m = 2m
3 + 2m + 2n + 8n = 0

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

Solving
3 + 2m + 10n = 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 + 2m + -3 + 10n = 0 + -3

Reorder the terms:
3 + -3 + 2m + 10n = 0 + -3

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

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

Add '-10n' to each side of the equation.
2m + 10n + -10n = -3 + -10n

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

Divide each side by '2'.
m = -1.5 + -5n

Simplifying
m = -1.5 + -5n