4.6-1.5(6m+2)=6

Solution for 4.6-1.5(6m+2)=6 equation:

Simplifying
4.6 + -1.5(6m + 2) = 6

Reorder the terms:
4.6 + -1.5(2 + 6m) = 6
4.6 + (2 * -1.5 + 6m * -1.5) = 6
4.6 + (-3 + -9m) = 6

Combine like terms: 4.6 + -3 = 1.6
1.6 + -9m = 6

Solving
1.6 + -9m = 6

Solving for variable 'm'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -9m = 6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -9m = 6 + -1.6
-9m = 6 + -1.6

Combine like terms: 6 + -1.6 = 4.4
-9m = 4.4

Divide each side by '-9'.
m = -0.4888888889

Simplifying
m = -0.4888888889