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

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


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

Reorder the terms:
4(5 + 2n) = 9(9n + 3) + 1
(5 * 4 + 2n * 4) = 9(9n + 3) + 1
(20 + 8n) = 9(9n + 3) + 1

Reorder the terms:
20 + 8n = 9(3 + 9n) + 1
20 + 8n = (3 * 9 + 9n * 9) + 1
20 + 8n = (27 + 81n) + 1

Reorder the terms:
20 + 8n = 27 + 1 + 81n

Combine like terms: 27 + 1 = 28
20 + 8n = 28 + 81n

Solving
20 + 8n = 28 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
20 + 8n + -81n = 28 + 81n + -81n

Combine like terms: 8n + -81n = -73n
20 + -73n = 28 + 81n + -81n

Combine like terms: 81n + -81n = 0
20 + -73n = 28 + 0
20 + -73n = 28

Add '-20' to each side of the equation.
20 + -20 + -73n = 28 + -20

Combine like terms: 20 + -20 = 0
0 + -73n = 28 + -20
-73n = 28 + -20

Combine like terms: 28 + -20 = 8
-73n = 8

Divide each side by '-73'.
n = -0.1095890411

Simplifying
n = -0.1095890411

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