-3(4n+6)6=-114

Solution for -3(4n+6)6=-114 equation:

Simplifying
-3(4n + 6) * 6 = -114

Reorder the terms:
-3(6 + 4n) * 6 = -114

Reorder the terms for easier multiplication:
-3 * 6(6 + 4n) = -114

Multiply -3 * 6
-18(6 + 4n) = -114
(6 * -18 + 4n * -18) = -114
(-108 + -72n) = -114

Solving
-108 + -72n = -114

Solving for variable 'n'.

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

Add '108' to each side of the equation.
-108 + 108 + -72n = -114 + 108

Combine like terms: -108 + 108 = 0
0 + -72n = -114 + 108
-72n = -114 + 108

Combine like terms: -114 + 108 = -6
-72n = -6

Divide each side by '-72'.
n = 0.08333333333

Simplifying
n = 0.08333333333