4n-2=2n+14

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Solution for 4n-2=2n+14 equation:


Simplifying
4n + -2 = 2n + 14

Reorder the terms:
-2 + 4n = 2n + 14

Reorder the terms:
-2 + 4n = 14 + 2n

Solving
-2 + 4n = 14 + 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.
-2 + 4n + -2n = 14 + 2n + -2n

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

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

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

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

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

Divide each side by '2'.
n = 8

Simplifying
n = 8

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