2(3n-4)=(2n+2)+8

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Solution for 2(3n-4)=(2n+2)+8 equation: 


Simplifying
2(3n + -4) = (2n + 2) + 8

Reorder the terms:
2(-4 + 3n) = (2n + 2) + 8
(-4 * 2 + 3n * 2) = (2n + 2) + 8
(-8 + 6n) = (2n + 2) + 8

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

Remove parenthesis around (2 + 2n)
-8 + 6n = 2 + 2n + 8

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

Combine like terms: 2 + 8 = 10
-8 + 6n = 10 + 2n

Solving
-8 + 6n = 10 + 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.
-8 + 6n + -2n = 10 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-8 + 4n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
-8 + 4n = 10 + 0
-8 + 4n = 10

Add '8' to each side of the equation.
-8 + 8 + 4n = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 4n = 10 + 8
4n = 10 + 8

Combine like terms: 10 + 8 = 18
4n = 18

Divide each side by '4'.
n = 4.5

Simplifying
n = 4.5

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