3(3n-2)=(6n+9)+2

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Solution for 3(3n-2)=(6n+9)+2 equation:


Simplifying
3(3n + -2) = (6n + 9) + 2

Reorder the terms:
3(-2 + 3n) = (6n + 9) + 2
(-2 * 3 + 3n * 3) = (6n + 9) + 2
(-6 + 9n) = (6n + 9) + 2

Reorder the terms:
-6 + 9n = (9 + 6n) + 2

Remove parenthesis around (9 + 6n)
-6 + 9n = 9 + 6n + 2

Reorder the terms:
-6 + 9n = 9 + 2 + 6n

Combine like terms: 9 + 2 = 11
-6 + 9n = 11 + 6n

Solving
-6 + 9n = 11 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6 + 9n + -6n = 11 + 6n + -6n

Combine like terms: 9n + -6n = 3n
-6 + 3n = 11 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + 3n = 11 + 0
-6 + 3n = 11

Add '6' to each side of the equation.
-6 + 6 + 3n = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 11 + 6
3n = 11 + 6

Combine like terms: 11 + 6 = 17
3n = 17

Divide each side by '3'.
n = 5.666666667

Simplifying
n = 5.666666667

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