6(1+4m)=-9(6m-3)

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

Simplifying
6(1 + 4m) = -9(6m + -3)
(1 * 6 + 4m * 6) = -9(6m + -3)
(6 + 24m) = -9(6m + -3)

Reorder the terms:
6 + 24m = -9(-3 + 6m)
6 + 24m = (-3 * -9 + 6m * -9)
6 + 24m = (27 + -54m)

Solving
6 + 24m = 27 + -54m

Solving for variable 'm'.

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

Add '54m' to each side of the equation.
6 + 24m + 54m = 27 + -54m + 54m

Combine like terms: 24m + 54m = 78m
6 + 78m = 27 + -54m + 54m

Combine like terms: -54m + 54m = 0
6 + 78m = 27 + 0
6 + 78m = 27

Add '-6' to each side of the equation.
6 + -6 + 78m = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 78m = 27 + -6
78m = 27 + -6

Combine like terms: 27 + -6 = 21
78m = 21

Divide each side by '78'.
m = 0.2692307692

Simplifying
m = 0.2692307692