8(2n+2)=9(6n+3)+9

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Solution for 8(2n+2)=9(6n+3)+9 equation:


Simplifying
8(2n + 2) = 9(6n + 3) + 9

Reorder the terms:
8(2 + 2n) = 9(6n + 3) + 9
(2 * 8 + 2n * 8) = 9(6n + 3) + 9
(16 + 16n) = 9(6n + 3) + 9

Reorder the terms:
16 + 16n = 9(3 + 6n) + 9
16 + 16n = (3 * 9 + 6n * 9) + 9
16 + 16n = (27 + 54n) + 9

Reorder the terms:
16 + 16n = 27 + 9 + 54n

Combine like terms: 27 + 9 = 36
16 + 16n = 36 + 54n

Solving
16 + 16n = 36 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
16 + 16n + -54n = 36 + 54n + -54n

Combine like terms: 16n + -54n = -38n
16 + -38n = 36 + 54n + -54n

Combine like terms: 54n + -54n = 0
16 + -38n = 36 + 0
16 + -38n = 36

Add '-16' to each side of the equation.
16 + -16 + -38n = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -38n = 36 + -16
-38n = 36 + -16

Combine like terms: 36 + -16 = 20
-38n = 20

Divide each side by '-38'.
n = -0.5263157895

Simplifying
n = -0.5263157895

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