(3n+4m-6)+(3m-4n+6)=

Solution for (3n+4m-6)+(3m-4n+6)= equation:

Simplifying
(3n + 4m + -6) + (3m + -4n + 6) = 0

Reorder the terms:
(-6 + 4m + 3n) + (3m + -4n + 6) = 0

Remove parenthesis around (-6 + 4m + 3n)
-6 + 4m + 3n + (3m + -4n + 6) = 0

Reorder the terms:
-6 + 4m + 3n + (6 + 3m + -4n) = 0

Remove parenthesis around (6 + 3m + -4n)
-6 + 4m + 3n + 6 + 3m + -4n = 0

Reorder the terms:
-6 + 6 + 4m + 3m + 3n + -4n = 0

Combine like terms: -6 + 6 = 0
0 + 4m + 3m + 3n + -4n = 0
4m + 3m + 3n + -4n = 0

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

Combine like terms: 3n + -4n = -1n
7m + -1n = 0

Solving
7m + -1n = 0

Solving for variable 'm'.

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

Add 'n' to each side of the equation.
7m + -1n + n = 0 + n

Combine like terms: -1n + n = 0
7m + 0 = 0 + n
7m = 0 + n
Remove the zero:
7m = n

Divide each side by '7'.
m = 0.1428571429n

Simplifying
m = 0.1428571429n