8(3n+2)=9(9n+1)+4

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Solution for 8(3n+2)=9(9n+1)+4 equation: 


Simplifying
8(3n + 2) = 9(9n + 1) + 4

Reorder the terms:
8(2 + 3n) = 9(9n + 1) + 4
(2 * 8 + 3n * 8) = 9(9n + 1) + 4
(16 + 24n) = 9(9n + 1) + 4

Reorder the terms:
16 + 24n = 9(1 + 9n) + 4
16 + 24n = (1 * 9 + 9n * 9) + 4
16 + 24n = (9 + 81n) + 4

Reorder the terms:
16 + 24n = 9 + 4 + 81n

Combine like terms: 9 + 4 = 13
16 + 24n = 13 + 81n

Solving
16 + 24n = 13 + 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.
16 + 24n + -81n = 13 + 81n + -81n

Combine like terms: 24n + -81n = -57n
16 + -57n = 13 + 81n + -81n

Combine like terms: 81n + -81n = 0
16 + -57n = 13 + 0
16 + -57n = 13

Add '-16' to each side of the equation.
16 + -16 + -57n = 13 + -16

Combine like terms: 16 + -16 = 0
0 + -57n = 13 + -16
-57n = 13 + -16

Combine like terms: 13 + -16 = -3
-57n = -3

Divide each side by '-57'.
n = 0.05263157895

Simplifying
n = 0.05263157895

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