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

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


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

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

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

Remove parenthesis around (8 + 3n)
-6 + 6n = 8 + 3n + 8

Reorder the terms:
-6 + 6n = 8 + 8 + 3n

Combine like terms: 8 + 8 = 16
-6 + 6n = 16 + 3n

Solving
-6 + 6n = 16 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 6n + -3n = 16 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-6 + 3n = 16 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 3n = 16 + 0
-6 + 3n = 16

Add '6' to each side of the equation.
-6 + 6 + 3n = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 16 + 6
3n = 16 + 6

Combine like terms: 16 + 6 = 22
3n = 22

Divide each side by '3'.
n = 7.333333333

Simplifying
n = 7.333333333

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