9(3n+4)=9(6n+9)+1

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Solution for 9(3n+4)=9(6n+9)+1 equation: 


Simplifying
9(3n + 4) = 9(6n + 9) + 1

Reorder the terms:
9(4 + 3n) = 9(6n + 9) + 1
(4 * 9 + 3n * 9) = 9(6n + 9) + 1
(36 + 27n) = 9(6n + 9) + 1

Reorder the terms:
36 + 27n = 9(9 + 6n) + 1
36 + 27n = (9 * 9 + 6n * 9) + 1
36 + 27n = (81 + 54n) + 1

Reorder the terms:
36 + 27n = 81 + 1 + 54n

Combine like terms: 81 + 1 = 82
36 + 27n = 82 + 54n

Solving
36 + 27n = 82 + 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.
36 + 27n + -54n = 82 + 54n + -54n

Combine like terms: 27n + -54n = -27n
36 + -27n = 82 + 54n + -54n

Combine like terms: 54n + -54n = 0
36 + -27n = 82 + 0
36 + -27n = 82

Add '-36' to each side of the equation.
36 + -36 + -27n = 82 + -36

Combine like terms: 36 + -36 = 0
0 + -27n = 82 + -36
-27n = 82 + -36

Combine like terms: 82 + -36 = 46
-27n = 46

Divide each side by '-27'.
n = -1.703703704

Simplifying
n = -1.703703704

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