6n+2=4(n-2)

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Solution for 6n+2=4(n-2) equation: 


Simplifying
6n + 2 = 4(n + -2)

Reorder the terms:
2 + 6n = 4(n + -2)

Reorder the terms:
2 + 6n = 4(-2 + n)
2 + 6n = (-2 * 4 + n * 4)
2 + 6n = (-8 + 4n)

Solving
2 + 6n = -8 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
2 + 6n + -4n = -8 + 4n + -4n

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

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

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

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

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

Divide each side by '2'.
n = -5

Simplifying
n = -5

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