9(3n+1)=8(5n+8)+9

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Solution for 9(3n+1)=8(5n+8)+9 equation: 


Simplifying
9(3n + 1) = 8(5n + 8) + 9

Reorder the terms:
9(1 + 3n) = 8(5n + 8) + 9
(1 * 9 + 3n * 9) = 8(5n + 8) + 9
(9 + 27n) = 8(5n + 8) + 9

Reorder the terms:
9 + 27n = 8(8 + 5n) + 9
9 + 27n = (8 * 8 + 5n * 8) + 9
9 + 27n = (64 + 40n) + 9

Reorder the terms:
9 + 27n = 64 + 9 + 40n

Combine like terms: 64 + 9 = 73
9 + 27n = 73 + 40n

Solving
9 + 27n = 73 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
9 + 27n + -40n = 73 + 40n + -40n

Combine like terms: 27n + -40n = -13n
9 + -13n = 73 + 40n + -40n

Combine like terms: 40n + -40n = 0
9 + -13n = 73 + 0
9 + -13n = 73

Add '-9' to each side of the equation.
9 + -9 + -13n = 73 + -9

Combine like terms: 9 + -9 = 0
0 + -13n = 73 + -9
-13n = 73 + -9

Combine like terms: 73 + -9 = 64
-13n = 64

Divide each side by '-13'.
n = -4.923076923

Simplifying
n = -4.923076923

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