5(3n+2)=9(8n+4)+1

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Solution for 5(3n+2)=9(8n+4)+1 equation: 


Simplifying
5(3n + 2) = 9(8n + 4) + 1

Reorder the terms:
5(2 + 3n) = 9(8n + 4) + 1
(2 * 5 + 3n * 5) = 9(8n + 4) + 1
(10 + 15n) = 9(8n + 4) + 1

Reorder the terms:
10 + 15n = 9(4 + 8n) + 1
10 + 15n = (4 * 9 + 8n * 9) + 1
10 + 15n = (36 + 72n) + 1

Reorder the terms:
10 + 15n = 36 + 1 + 72n

Combine like terms: 36 + 1 = 37
10 + 15n = 37 + 72n

Solving
10 + 15n = 37 + 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.
10 + 15n + -72n = 37 + 72n + -72n

Combine like terms: 15n + -72n = -57n
10 + -57n = 37 + 72n + -72n

Combine like terms: 72n + -72n = 0
10 + -57n = 37 + 0
10 + -57n = 37

Add '-10' to each side of the equation.
10 + -10 + -57n = 37 + -10

Combine like terms: 10 + -10 = 0
0 + -57n = 37 + -10
-57n = 37 + -10

Combine like terms: 37 + -10 = 27
-57n = 27

Divide each side by '-57'.
n = -0.4736842105

Simplifying
n = -0.4736842105

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