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

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


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

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

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

Reorder the terms:
15 + 9n = 72 + 1 + 72n

Combine like terms: 72 + 1 = 73
15 + 9n = 73 + 72n

Solving
15 + 9n = 73 + 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.
15 + 9n + -72n = 73 + 72n + -72n

Combine like terms: 9n + -72n = -63n
15 + -63n = 73 + 72n + -72n

Combine like terms: 72n + -72n = 0
15 + -63n = 73 + 0
15 + -63n = 73

Add '-15' to each side of the equation.
15 + -15 + -63n = 73 + -15

Combine like terms: 15 + -15 = 0
0 + -63n = 73 + -15
-63n = 73 + -15

Combine like terms: 73 + -15 = 58
-63n = 58

Divide each side by '-63'.
n = -0.9206349206

Simplifying
n = -0.9206349206

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