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

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

Simplifying
6(n + m) + -1(m + 4n) = 0

Reorder the terms:
6(m + n) + -1(m + 4n) = 0
(m * 6 + n * 6) + -1(m + 4n) = 0
(6m + 6n) + -1(m + 4n) = 0
6m + 6n + (m * -1 + 4n * -1) = 0
6m + 6n + (-1m + -4n) = 0

Reorder the terms:
6m + -1m + 6n + -4n = 0

Combine like terms: 6m + -1m = 5m
5m + 6n + -4n = 0

Combine like terms: 6n + -4n = 2n
5m + 2n = 0

Solving
5m + 2n = 0

Solving for variable 'm'.

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

Add '-2n' to each side of the equation.
5m + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
5m + 0 = 0 + -2n
5m = 0 + -2n
Remove the zero:
5m = -2n

Divide each side by '5'.
m = -0.4n

Simplifying
m = -0.4n