2(3n-3)=(3n+1)+8

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Solution for 2(3n-3)=(3n+1)+8 equation:


Simplifying
2(3n + -3) = (3n + 1) + 8

Reorder the terms:
2(-3 + 3n) = (3n + 1) + 8
(-3 * 2 + 3n * 2) = (3n + 1) + 8
(-6 + 6n) = (3n + 1) + 8

Reorder the terms:
-6 + 6n = (1 + 3n) + 8

Remove parenthesis around (1 + 3n)
-6 + 6n = 1 + 3n + 8

Reorder the terms:
-6 + 6n = 1 + 8 + 3n

Combine like terms: 1 + 8 = 9
-6 + 6n = 9 + 3n

Solving
-6 + 6n = 9 + 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 = 9 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-6 + 3n = 9 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 3n = 9 + 0
-6 + 3n = 9

Add '6' to each side of the equation.
-6 + 6 + 3n = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 9 + 6
3n = 9 + 6

Combine like terms: 9 + 6 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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