-114=6n-6(1-5n)

Solution for -114=6n-6(1-5n) equation:

Simplifying
-114 = 6n + -6(1 + -5n)
-114 = 6n + (1 * -6 + -5n * -6)
-114 = 6n + (-6 + 30n)

Reorder the terms:
-114 = -6 + 6n + 30n

Combine like terms: 6n + 30n = 36n
-114 = -6 + 36n

Solving
-114 = -6 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
-114 + -36n = -6 + 36n + -36n

Combine like terms: 36n + -36n = 0
-114 + -36n = -6 + 0
-114 + -36n = -6

Add '114' to each side of the equation.
-114 + 114 + -36n = -6 + 114

Combine like terms: -114 + 114 = 0
0 + -36n = -6 + 114
-36n = -6 + 114

Combine like terms: -6 + 114 = 108
-36n = 108

Divide each side by '-36'.
n = -3

Simplifying
n = -3