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

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


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

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

Reorder the terms:
16 + 16n = 9(5 + 9n) + 3
16 + 16n = (5 * 9 + 9n * 9) + 3
16 + 16n = (45 + 81n) + 3

Reorder the terms:
16 + 16n = 45 + 3 + 81n

Combine like terms: 45 + 3 = 48
16 + 16n = 48 + 81n

Solving
16 + 16n = 48 + 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 + 16n + -81n = 48 + 81n + -81n

Combine like terms: 16n + -81n = -65n
16 + -65n = 48 + 81n + -81n

Combine like terms: 81n + -81n = 0
16 + -65n = 48 + 0
16 + -65n = 48

Add '-16' to each side of the equation.
16 + -16 + -65n = 48 + -16

Combine like terms: 16 + -16 = 0
0 + -65n = 48 + -16
-65n = 48 + -16

Combine like terms: 48 + -16 = 32
-65n = 32

Divide each side by '-65'.
n = -0.4923076923

Simplifying
n = -0.4923076923

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