114=7n+6(3n-6)

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Solution for 114=7n+6(3n-6) equation:


Simplifying
114 = 7n + 6(3n + -6)

Reorder the terms:
114 = 7n + 6(-6 + 3n)
114 = 7n + (-6 * 6 + 3n * 6)
114 = 7n + (-36 + 18n)

Reorder the terms:
114 = -36 + 7n + 18n

Combine like terms: 7n + 18n = 25n
114 = -36 + 25n

Solving
114 = -36 + 25n

Solving for variable 'n'.

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

Add '-25n' to each side of the equation.
114 + -25n = -36 + 25n + -25n

Combine like terms: 25n + -25n = 0
114 + -25n = -36 + 0
114 + -25n = -36

Add '-114' to each side of the equation.
114 + -114 + -25n = -36 + -114

Combine like terms: 114 + -114 = 0
0 + -25n = -36 + -114
-25n = -36 + -114

Combine like terms: -36 + -114 = -150
-25n = -150

Divide each side by '-25'.
n = 6

Simplifying
n = 6

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