6n+2=2n-8

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Solution for 6n+2=2n-8 equation: 


Simplifying
6n + 2 = 2n + -8

Reorder the terms:
2 + 6n = 2n + -8

Reorder the terms:
2 + 6n = -8 + 2n

Solving
2 + 6n = -8 + 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 + 6n + -2n = -8 + 2n + -2n

Combine like terms: 6n + -2n = 4n
2 + 4n = -8 + 2n + -2n

Combine like terms: 2n + -2n = 0
2 + 4n = -8 + 0
2 + 4n = -8

Add '-2' to each side of the equation.
2 + -2 + 4n = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = -8 + -2
4n = -8 + -2

Combine like terms: -8 + -2 = -10
4n = -10

Divide each side by '4'.
n = -2.5

Simplifying
n = -2.5

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