114=2n-6(3n-3)

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Solution for 114=2n-6(3n-3) equation:


Simplifying
114 = 2n + -6(3n + -3)

Reorder the terms:
114 = 2n + -6(-3 + 3n)
114 = 2n + (-3 * -6 + 3n * -6)
114 = 2n + (18 + -18n)

Reorder the terms:
114 = 18 + 2n + -18n

Combine like terms: 2n + -18n = -16n
114 = 18 + -16n

Solving
114 = 18 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
114 + 16n = 18 + -16n + 16n

Combine like terms: -16n + 16n = 0
114 + 16n = 18 + 0
114 + 16n = 18

Add '-114' to each side of the equation.
114 + -114 + 16n = 18 + -114

Combine like terms: 114 + -114 = 0
0 + 16n = 18 + -114
16n = 18 + -114

Combine like terms: 18 + -114 = -96
16n = -96

Divide each side by '16'.
n = -6

Simplifying
n = -6

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