6n+14=2n-2

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Solution for 6n+14=2n-2 equation:


Simplifying
6n + 14 = 2n + -2

Reorder the terms:
14 + 6n = 2n + -2

Reorder the terms:
14 + 6n = -2 + 2n

Solving
14 + 6n = -2 + 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.
14 + 6n + -2n = -2 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
14 + 4n = -2 + 0
14 + 4n = -2

Add '-14' to each side of the equation.
14 + -14 + 4n = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 4n = -2 + -14
4n = -2 + -14

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

Divide each side by '4'.
n = -4

Simplifying
n = -4

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