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

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


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

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

Combine like terms: 6n + -2n = 4n
2 + 4n = 2(n + 4)

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

Solving
2 + 4n = 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 + 4n + -2n = 8 + 2n + -2n

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

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

Divide each side by '2'.
n = 3

Simplifying
n = 3

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