6n-10=2n+14

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Solution for 6n-10=2n+14 equation:


Simplifying
6n + -10 = 2n + 14

Reorder the terms:
-10 + 6n = 2n + 14

Reorder the terms:
-10 + 6n = 14 + 2n

Solving
-10 + 6n = 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.
-10 + 6n + -2n = 14 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-10 + 4n = 14 + 2n + -2n

Combine like terms: 2n + -2n = 0
-10 + 4n = 14 + 0
-10 + 4n = 14

Add '10' to each side of the equation.
-10 + 10 + 4n = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 4n = 14 + 10
4n = 14 + 10

Combine like terms: 14 + 10 = 24
4n = 24

Divide each side by '4'.
n = 6

Simplifying
n = 6

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