6(1+3m)=-8(2u-4)-9

Solution for 6(1+3m)=-8(2u-4)-9 equation:

Simplifying
6(1 + 3m) = -8(2u + -4) + -9
(1 * 6 + 3m * 6) = -8(2u + -4) + -9
(6 + 18m) = -8(2u + -4) + -9

Reorder the terms:
6 + 18m = -8(-4 + 2u) + -9
6 + 18m = (-4 * -8 + 2u * -8) + -9
6 + 18m = (32 + -16u) + -9

Reorder the terms:
6 + 18m = 32 + -9 + -16u

Combine like terms: 32 + -9 = 23
6 + 18m = 23 + -16u

Solving
6 + 18m = 23 + -16u

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 = 23 + -6 + -16u

Combine like terms: 6 + -6 = 0
0 + 18m = 23 + -6 + -16u
18m = 23 + -6 + -16u

Combine like terms: 23 + -6 = 17
18m = 17 + -16u

Divide each side by '18'.
m = 0.9444444444 + -0.8888888889u

Simplifying
m = 0.9444444444 + -0.8888888889u