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

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


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

Reorder the terms:
9(2 + 3n) = 9(6n + 6) + 3
(2 * 9 + 3n * 9) = 9(6n + 6) + 3
(18 + 27n) = 9(6n + 6) + 3

Reorder the terms:
18 + 27n = 9(6 + 6n) + 3
18 + 27n = (6 * 9 + 6n * 9) + 3
18 + 27n = (54 + 54n) + 3

Reorder the terms:
18 + 27n = 54 + 3 + 54n

Combine like terms: 54 + 3 = 57
18 + 27n = 57 + 54n

Solving
18 + 27n = 57 + 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.
18 + 27n + -54n = 57 + 54n + -54n

Combine like terms: 27n + -54n = -27n
18 + -27n = 57 + 54n + -54n

Combine like terms: 54n + -54n = 0
18 + -27n = 57 + 0
18 + -27n = 57

Add '-18' to each side of the equation.
18 + -18 + -27n = 57 + -18

Combine like terms: 18 + -18 = 0
0 + -27n = 57 + -18
-27n = 57 + -18

Combine like terms: 57 + -18 = 39
-27n = 39

Divide each side by '-27'.
n = -1.444444444

Simplifying
n = -1.444444444

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