114=-6(1-4n)

Solution for 114=-6(1-4n) equation:

Simplifying
114 = -6(1 + -4n)
114 = (1 * -6 + -4n * -6)
114 = (-6 + 24n)

Solving
114 = -6 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
114 + -24n = -6 + 24n + -24n

Combine like terms: 24n + -24n = 0
114 + -24n = -6 + 0
114 + -24n = -6

Add '-114' to each side of the equation.
114 + -114 + -24n = -6 + -114

Combine like terms: 114 + -114 = 0
0 + -24n = -6 + -114
-24n = -6 + -114

Combine like terms: -6 + -114 = -120
-24n = -120

Divide each side by '-24'.
n = 5

Simplifying
n = 5