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

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

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

Reorder the terms:
-8(-2 + m) + 6(2m + 4) = 3(m + 3) + 3
(-2 * -8 + m * -8) + 6(2m + 4) = 3(m + 3) + 3
(16 + -8m) + 6(2m + 4) = 3(m + 3) + 3

Reorder the terms:
16 + -8m + 6(4 + 2m) = 3(m + 3) + 3
16 + -8m + (4 * 6 + 2m * 6) = 3(m + 3) + 3
16 + -8m + (24 + 12m) = 3(m + 3) + 3

Reorder the terms:
16 + 24 + -8m + 12m = 3(m + 3) + 3

Combine like terms: 16 + 24 = 40
40 + -8m + 12m = 3(m + 3) + 3

Combine like terms: -8m + 12m = 4m
40 + 4m = 3(m + 3) + 3

Reorder the terms:
40 + 4m = 3(3 + m) + 3
40 + 4m = (3 * 3 + m * 3) + 3
40 + 4m = (9 + 3m) + 3

Reorder the terms:
40 + 4m = 9 + 3 + 3m

Combine like terms: 9 + 3 = 12
40 + 4m = 12 + 3m

Solving
40 + 4m = 12 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
40 + 4m + -3m = 12 + 3m + -3m

Combine like terms: 4m + -3m = 1m
40 + 1m = 12 + 3m + -3m

Combine like terms: 3m + -3m = 0
40 + 1m = 12 + 0
40 + 1m = 12

Add '-40' to each side of the equation.
40 + -40 + 1m = 12 + -40

Combine like terms: 40 + -40 = 0
0 + 1m = 12 + -40
1m = 12 + -40

Combine like terms: 12 + -40 = -28
1m = -28

Divide each side by '1'.
m = -28

Simplifying
m = -28