-6+m(-3)+n=0

Solution for -6+m(-3)+n=0 equation:

Simplifying
-6 + m(-3) + n = 0

Reorder the terms for easier multiplication:
-6 + -3m + n = 0

Solving
-6 + -3m + n = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + -3m + 6 + n = 0 + 6

Reorder the terms:
-6 + 6 + -3m + n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -3m + n = 0 + 6
-3m + n = 0 + 6

Combine like terms: 0 + 6 = 6
-3m + n = 6

Add '-1n' to each side of the equation.
-3m + n + -1n = 6 + -1n

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

Divide each side by '-3'.
m = -2 + 0.3333333333n

Simplifying
m = -2 + 0.3333333333n