9(3n+4)=8(9n+9)+5

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Solution for 9(3n+4)=8(9n+9)+5 equation: 


Simplifying
9(3n + 4) = 8(9n + 9) + 5

Reorder the terms:
9(4 + 3n) = 8(9n + 9) + 5
(4 * 9 + 3n * 9) = 8(9n + 9) + 5
(36 + 27n) = 8(9n + 9) + 5

Reorder the terms:
36 + 27n = 8(9 + 9n) + 5
36 + 27n = (9 * 8 + 9n * 8) + 5
36 + 27n = (72 + 72n) + 5

Reorder the terms:
36 + 27n = 72 + 5 + 72n

Combine like terms: 72 + 5 = 77
36 + 27n = 77 + 72n

Solving
36 + 27n = 77 + 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 = 77 + 72n + -72n

Combine like terms: 27n + -72n = -45n
36 + -45n = 77 + 72n + -72n

Combine like terms: 72n + -72n = 0
36 + -45n = 77 + 0
36 + -45n = 77

Add '-36' to each side of the equation.
36 + -36 + -45n = 77 + -36

Combine like terms: 36 + -36 = 0
0 + -45n = 77 + -36
-45n = 77 + -36

Combine like terms: 77 + -36 = 41
-45n = 41

Divide each side by '-45'.
n = -0.9111111111

Simplifying
n = -0.9111111111

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