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

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


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

Reorder the terms:
4(5 + 2n) = 9(8n + 4) + 1
(5 * 4 + 2n * 4) = 9(8n + 4) + 1
(20 + 8n) = 9(8n + 4) + 1

Reorder the terms:
20 + 8n = 9(4 + 8n) + 1
20 + 8n = (4 * 9 + 8n * 9) + 1
20 + 8n = (36 + 72n) + 1

Reorder the terms:
20 + 8n = 36 + 1 + 72n

Combine like terms: 36 + 1 = 37
20 + 8n = 37 + 72n

Solving
20 + 8n = 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.
20 + 8n + -72n = 37 + 72n + -72n

Combine like terms: 8n + -72n = -64n
20 + -64n = 37 + 72n + -72n

Combine like terms: 72n + -72n = 0
20 + -64n = 37 + 0
20 + -64n = 37

Add '-20' to each side of the equation.
20 + -20 + -64n = 37 + -20

Combine like terms: 20 + -20 = 0
0 + -64n = 37 + -20
-64n = 37 + -20

Combine like terms: 37 + -20 = 17
-64n = 17

Divide each side by '-64'.
n = -0.265625

Simplifying
n = -0.265625

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