8(3n+2)=9(5n+1)+3

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Solution for 8(3n+2)=9(5n+1)+3 equation: 


Simplifying
8(3n + 2) = 9(5n + 1) + 3

Reorder the terms:
8(2 + 3n) = 9(5n + 1) + 3
(2 * 8 + 3n * 8) = 9(5n + 1) + 3
(16 + 24n) = 9(5n + 1) + 3

Reorder the terms:
16 + 24n = 9(1 + 5n) + 3
16 + 24n = (1 * 9 + 5n * 9) + 3
16 + 24n = (9 + 45n) + 3

Reorder the terms:
16 + 24n = 9 + 3 + 45n

Combine like terms: 9 + 3 = 12
16 + 24n = 12 + 45n

Solving
16 + 24n = 12 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
16 + 24n + -45n = 12 + 45n + -45n

Combine like terms: 24n + -45n = -21n
16 + -21n = 12 + 45n + -45n

Combine like terms: 45n + -45n = 0
16 + -21n = 12 + 0
16 + -21n = 12

Add '-16' to each side of the equation.
16 + -16 + -21n = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -21n = 12 + -16
-21n = 12 + -16

Combine like terms: 12 + -16 = -4
-21n = -4

Divide each side by '-21'.
n = 0.1904761905

Simplifying
n = 0.1904761905

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