9(3n+1)=6(9n+9)+3

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Solution for 9(3n+1)=6(9n+9)+3 equation: 


Simplifying
9(3n + 1) = 6(9n + 9) + 3

Reorder the terms:
9(1 + 3n) = 6(9n + 9) + 3
(1 * 9 + 3n * 9) = 6(9n + 9) + 3
(9 + 27n) = 6(9n + 9) + 3

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

Reorder the terms:
9 + 27n = 54 + 3 + 54n

Combine like terms: 54 + 3 = 57
9 + 27n = 57 + 54n

Solving
9 + 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.
9 + 27n + -54n = 57 + 54n + -54n

Combine like terms: 27n + -54n = -27n
9 + -27n = 57 + 54n + -54n

Combine like terms: 54n + -54n = 0
9 + -27n = 57 + 0
9 + -27n = 57

Add '-9' to each side of the equation.
9 + -9 + -27n = 57 + -9

Combine like terms: 9 + -9 = 0
0 + -27n = 57 + -9
-27n = 57 + -9

Combine like terms: 57 + -9 = 48
-27n = 48

Divide each side by '-27'.
n = -1.777777778

Simplifying
n = -1.777777778

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