9(3n+3)=9(6n+8)+6

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Solution for 9(3n+3)=9(6n+8)+6 equation:


Simplifying
9(3n + 3) = 9(6n + 8) + 6

Reorder the terms:
9(3 + 3n) = 9(6n + 8) + 6
(3 * 9 + 3n * 9) = 9(6n + 8) + 6
(27 + 27n) = 9(6n + 8) + 6

Reorder the terms:
27 + 27n = 9(8 + 6n) + 6
27 + 27n = (8 * 9 + 6n * 9) + 6
27 + 27n = (72 + 54n) + 6

Reorder the terms:
27 + 27n = 72 + 6 + 54n

Combine like terms: 72 + 6 = 78
27 + 27n = 78 + 54n

Solving
27 + 27n = 78 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
27 + 27n + -54n = 78 + 54n + -54n

Combine like terms: 27n + -54n = -27n
27 + -27n = 78 + 54n + -54n

Combine like terms: 54n + -54n = 0
27 + -27n = 78 + 0
27 + -27n = 78

Add '-27' to each side of the equation.
27 + -27 + -27n = 78 + -27

Combine like terms: 27 + -27 = 0
0 + -27n = 78 + -27
-27n = 78 + -27

Combine like terms: 78 + -27 = 51
-27n = 51

Divide each side by '-27'.
n = -1.888888889

Simplifying
n = -1.888888889

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