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

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

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

Reorder the terms:
8 + 8 + -8m + 2m = 3(6 + -3m)

Combine like terms: 8 + 8 = 16
16 + -8m + 2m = 3(6 + -3m)

Combine like terms: -8m + 2m = -6m
16 + -6m = 3(6 + -3m)
16 + -6m = (6 * 3 + -3m * 3)
16 + -6m = (18 + -9m)

Solving
16 + -6m = 18 + -9m

Solving for variable 'm'.

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

Add '9m' to each side of the equation.
16 + -6m + 9m = 18 + -9m + 9m

Combine like terms: -6m + 9m = 3m
16 + 3m = 18 + -9m + 9m

Combine like terms: -9m + 9m = 0
16 + 3m = 18 + 0
16 + 3m = 18

Add '-16' to each side of the equation.
16 + -16 + 3m = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 3m = 18 + -16
3m = 18 + -16

Combine like terms: 18 + -16 = 2
3m = 2

Divide each side by '3'.
m = 0.6666666667

Simplifying
m = 0.6666666667