12-(n-6)+4n-2=n+14

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Solution for 12-(n-6)+4n-2=n+14 equation:


Simplifying
12 + -1(n + -6) + 4n + -2 = n + 14

Reorder the terms:
12 + -1(-6 + n) + 4n + -2 = n + 14
12 + (-6 * -1 + n * -1) + 4n + -2 = n + 14
12 + (6 + -1n) + 4n + -2 = n + 14

Reorder the terms:
12 + 6 + -2 + -1n + 4n = n + 14

Combine like terms: 12 + 6 = 18
18 + -2 + -1n + 4n = n + 14

Combine like terms: 18 + -2 = 16
16 + -1n + 4n = n + 14

Combine like terms: -1n + 4n = 3n
16 + 3n = n + 14

Reorder the terms:
16 + 3n = 14 + n

Solving
16 + 3n = 14 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
16 + 3n + -1n = 14 + n + -1n

Combine like terms: 3n + -1n = 2n
16 + 2n = 14 + n + -1n

Combine like terms: n + -1n = 0
16 + 2n = 14 + 0
16 + 2n = 14

Add '-16' to each side of the equation.
16 + -16 + 2n = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 2n = 14 + -16
2n = 14 + -16

Combine like terms: 14 + -16 = -2
2n = -2

Divide each side by '2'.
n = -1

Simplifying
n = -1

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