2-(n-2)=2(n+14)

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


Simplifying
2 + -1(n + -2) = 2(n + 14)

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

Combine like terms: 2 + 2 = 4
4 + -1n = 2(n + 14)

Reorder the terms:
4 + -1n = 2(14 + n)
4 + -1n = (14 * 2 + n * 2)
4 + -1n = (28 + 2n)

Solving
4 + -1n = 28 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
4 + -1n + -2n = 28 + 2n + -2n

Combine like terms: -1n + -2n = -3n
4 + -3n = 28 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + -3n = 28 + 0
4 + -3n = 28

Add '-4' to each side of the equation.
4 + -4 + -3n = 28 + -4

Combine like terms: 4 + -4 = 0
0 + -3n = 28 + -4
-3n = 28 + -4

Combine like terms: 28 + -4 = 24
-3n = 24

Divide each side by '-3'.
n = -8

Simplifying
n = -8

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