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

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


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

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

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

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

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

Combine like terms: 1 + 3 = 4
-6 + 6n = 4 + 3n

Solving
-6 + 6n = 4 + 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 = 4 + 3n + -3n

Combine like terms: 6n + -3n = 3n
-6 + 3n = 4 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 3n = 4 + 0
-6 + 3n = 4

Add '6' to each side of the equation.
-6 + 6 + 3n = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 4 + 6
3n = 4 + 6

Combine like terms: 4 + 6 = 10
3n = 10

Divide each side by '3'.
n = 3.333333333

Simplifying
n = 3.333333333

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