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

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

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

Reorder the terms:
2m + -3m + 2n + -3n = 4

Combine like terms: 2m + -3m = -1m
-1m + 2n + -3n = 4

Combine like terms: 2n + -3n = -1n
-1m + -1n = 4

Solving
-1m + -1n = 4

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.
-1m + -1n + n = 4 + n

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

Divide each side by '-1'.
m = -4 + -1n

Simplifying
m = -4 + -1n