9(3n+3)=6(9n+2)+1

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Solution for 9(3n+3)=6(9n+2)+1 equation:


Simplifying
9(3n + 3) = 6(9n + 2) + 1

Reorder the terms:
9(3 + 3n) = 6(9n + 2) + 1
(3 * 9 + 3n * 9) = 6(9n + 2) + 1
(27 + 27n) = 6(9n + 2) + 1

Reorder the terms:
27 + 27n = 6(2 + 9n) + 1
27 + 27n = (2 * 6 + 9n * 6) + 1
27 + 27n = (12 + 54n) + 1

Reorder the terms:
27 + 27n = 12 + 1 + 54n

Combine like terms: 12 + 1 = 13
27 + 27n = 13 + 54n

Solving
27 + 27n = 13 + 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 = 13 + 54n + -54n

Combine like terms: 27n + -54n = -27n
27 + -27n = 13 + 54n + -54n

Combine like terms: 54n + -54n = 0
27 + -27n = 13 + 0
27 + -27n = 13

Add '-27' to each side of the equation.
27 + -27 + -27n = 13 + -27

Combine like terms: 27 + -27 = 0
0 + -27n = 13 + -27
-27n = 13 + -27

Combine like terms: 13 + -27 = -14
-27n = -14

Divide each side by '-27'.
n = 0.5185185185

Simplifying
n = 0.5185185185

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