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

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


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

Reorder the terms:
3(5 + 2n) = 9(9n + 4) + 5
(5 * 3 + 2n * 3) = 9(9n + 4) + 5
(15 + 6n) = 9(9n + 4) + 5

Reorder the terms:
15 + 6n = 9(4 + 9n) + 5
15 + 6n = (4 * 9 + 9n * 9) + 5
15 + 6n = (36 + 81n) + 5

Reorder the terms:
15 + 6n = 36 + 5 + 81n

Combine like terms: 36 + 5 = 41
15 + 6n = 41 + 81n

Solving
15 + 6n = 41 + 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.
15 + 6n + -81n = 41 + 81n + -81n

Combine like terms: 6n + -81n = -75n
15 + -75n = 41 + 81n + -81n

Combine like terms: 81n + -81n = 0
15 + -75n = 41 + 0
15 + -75n = 41

Add '-15' to each side of the equation.
15 + -15 + -75n = 41 + -15

Combine like terms: 15 + -15 = 0
0 + -75n = 41 + -15
-75n = 41 + -15

Combine like terms: 41 + -15 = 26
-75n = 26

Divide each side by '-75'.
n = -0.3466666667

Simplifying
n = -0.3466666667

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