9(3n+4)=9(8n+1)+4

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Solution for 9(3n+4)=9(8n+1)+4 equation: 


Simplifying
9(3n + 4) = 9(8n + 1) + 4

Reorder the terms:
9(4 + 3n) = 9(8n + 1) + 4
(4 * 9 + 3n * 9) = 9(8n + 1) + 4
(36 + 27n) = 9(8n + 1) + 4

Reorder the terms:
36 + 27n = 9(1 + 8n) + 4
36 + 27n = (1 * 9 + 8n * 9) + 4
36 + 27n = (9 + 72n) + 4

Reorder the terms:
36 + 27n = 9 + 4 + 72n

Combine like terms: 9 + 4 = 13
36 + 27n = 13 + 72n

Solving
36 + 27n = 13 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
36 + 27n + -72n = 13 + 72n + -72n

Combine like terms: 27n + -72n = -45n
36 + -45n = 13 + 72n + -72n

Combine like terms: 72n + -72n = 0
36 + -45n = 13 + 0
36 + -45n = 13

Add '-36' to each side of the equation.
36 + -36 + -45n = 13 + -36

Combine like terms: 36 + -36 = 0
0 + -45n = 13 + -36
-45n = 13 + -36

Combine like terms: 13 + -36 = -23
-45n = -23

Divide each side by '-45'.
n = 0.5111111111

Simplifying
n = 0.5111111111

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