0.75(12m+8)=0.66(6m+9)

Solution for 0.75(12m+8)=0.66(6m+9) equation:

Simplifying
0.75(12m + 8) = 0.66(6m + 9)

Reorder the terms:
0.75(8 + 12m) = 0.66(6m + 9)
(8 * 0.75 + 12m * 0.75) = 0.66(6m + 9)
(6 + 9m) = 0.66(6m + 9)

Reorder the terms:
6 + 9m = 0.66(9 + 6m)
6 + 9m = (9 * 0.66 + 6m * 0.66)
6 + 9m = (5.94 + 3.96m)

Solving
6 + 9m = 5.94 + 3.96m

Solving for variable 'm'.

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

Add '-3.96m' to each side of the equation.
6 + 9m + -3.96m = 5.94 + 3.96m + -3.96m

Combine like terms: 9m + -3.96m = 5.04m
6 + 5.04m = 5.94 + 3.96m + -3.96m

Combine like terms: 3.96m + -3.96m = 0.00
6 + 5.04m = 5.94 + 0.00
6 + 5.04m = 5.94

Add '-6' to each side of the equation.
6 + -6 + 5.04m = 5.94 + -6

Combine like terms: 6 + -6 = 0
0 + 5.04m = 5.94 + -6
5.04m = 5.94 + -6

Combine like terms: 5.94 + -6 = -0.06
5.04m = -0.06

Divide each side by '5.04'.
m = -0.0119047619

Simplifying
m = -0.0119047619