6-6(4m-6)=114

Solution for 6-6(4m-6)=114 equation:

Simplifying
6 + -6(4m + -6) = 114

Reorder the terms:
6 + -6(-6 + 4m) = 114
6 + (-6 * -6 + 4m * -6) = 114
6 + (36 + -24m) = 114

Combine like terms: 6 + 36 = 42
42 + -24m = 114

Solving
42 + -24m = 114

Solving for variable 'm'.

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

Add '-42' to each side of the equation.
42 + -42 + -24m = 114 + -42

Combine like terms: 42 + -42 = 0
0 + -24m = 114 + -42
-24m = 114 + -42

Combine like terms: 114 + -42 = 72
-24m = 72

Divide each side by '-24'.
m = -3

Simplifying
m = -3