9(2n+4)=6(8n+3)+9

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Solution for 9(2n+4)=6(8n+3)+9 equation: 


Simplifying
9(2n + 4) = 6(8n + 3) + 9

Reorder the terms:
9(4 + 2n) = 6(8n + 3) + 9
(4 * 9 + 2n * 9) = 6(8n + 3) + 9
(36 + 18n) = 6(8n + 3) + 9

Reorder the terms:
36 + 18n = 6(3 + 8n) + 9
36 + 18n = (3 * 6 + 8n * 6) + 9
36 + 18n = (18 + 48n) + 9

Reorder the terms:
36 + 18n = 18 + 9 + 48n

Combine like terms: 18 + 9 = 27
36 + 18n = 27 + 48n

Solving
36 + 18n = 27 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
36 + 18n + -48n = 27 + 48n + -48n

Combine like terms: 18n + -48n = -30n
36 + -30n = 27 + 48n + -48n

Combine like terms: 48n + -48n = 0
36 + -30n = 27 + 0
36 + -30n = 27

Add '-36' to each side of the equation.
36 + -36 + -30n = 27 + -36

Combine like terms: 36 + -36 = 0
0 + -30n = 27 + -36
-30n = 27 + -36

Combine like terms: 27 + -36 = -9
-30n = -9

Divide each side by '-30'.
n = 0.3

Simplifying
n = 0.3

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