6(1+3m)=-8(-2n+5)-4

Solution for 6(1+3m)=-8(-2n+5)-4 equation:

Simplifying
6(1 + 3m) = -8(-2n + 5) + -4
(1 * 6 + 3m * 6) = -8(-2n + 5) + -4
(6 + 18m) = -8(-2n + 5) + -4

Reorder the terms:
6 + 18m = -8(5 + -2n) + -4
6 + 18m = (5 * -8 + -2n * -8) + -4
6 + 18m = (-40 + 16n) + -4

Reorder the terms:
6 + 18m = -40 + -4 + 16n

Combine like terms: -40 + -4 = -44
6 + 18m = -44 + 16n

Solving
6 + 18m = -44 + 16n

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 + -6 + 18m = -44 + -6 + 16n

Combine like terms: 6 + -6 = 0
0 + 18m = -44 + -6 + 16n
18m = -44 + -6 + 16n

Combine like terms: -44 + -6 = -50
18m = -50 + 16n

Divide each side by '18'.
m = -2.777777778 + 0.8888888889n

Simplifying
m = -2.777777778 + 0.8888888889n