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

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


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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4

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