3(m+2n)-4(2m+n)=

Solution for 3(m+2n)-4(2m+n)= equation:

Simplifying
3(m + 2n) + -4(2m + n) = 0
(m * 3 + 2n * 3) + -4(2m + n) = 0
(3m + 6n) + -4(2m + n) = 0
3m + 6n + (2m * -4 + n * -4) = 0
3m + 6n + (-8m + -4n) = 0

Reorder the terms:
3m + -8m + 6n + -4n = 0

Combine like terms: 3m + -8m = -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