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

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


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

Reorder the terms:
2(1 + 2n) = 9(8n + 4) + 1
(1 * 2 + 2n * 2) = 9(8n + 4) + 1
(2 + 4n) = 9(8n + 4) + 1

Reorder the terms:
2 + 4n = 9(4 + 8n) + 1
2 + 4n = (4 * 9 + 8n * 9) + 1
2 + 4n = (36 + 72n) + 1

Reorder the terms:
2 + 4n = 36 + 1 + 72n

Combine like terms: 36 + 1 = 37
2 + 4n = 37 + 72n

Solving
2 + 4n = 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.
2 + 4n + -72n = 37 + 72n + -72n

Combine like terms: 4n + -72n = -68n
2 + -68n = 37 + 72n + -72n

Combine like terms: 72n + -72n = 0
2 + -68n = 37 + 0
2 + -68n = 37

Add '-2' to each side of the equation.
2 + -2 + -68n = 37 + -2

Combine like terms: 2 + -2 = 0
0 + -68n = 37 + -2
-68n = 37 + -2

Combine like terms: 37 + -2 = 35
-68n = 35

Divide each side by '-68'.
n = -0.5147058824

Simplifying
n = -0.5147058824

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