4(2n+4)=9(6n+1)+5

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Solution for 4(2n+4)=9(6n+1)+5 equation: 


Simplifying
4(2n + 4) = 9(6n + 1) + 5

Reorder the terms:
4(4 + 2n) = 9(6n + 1) + 5
(4 * 4 + 2n * 4) = 9(6n + 1) + 5
(16 + 8n) = 9(6n + 1) + 5

Reorder the terms:
16 + 8n = 9(1 + 6n) + 5
16 + 8n = (1 * 9 + 6n * 9) + 5
16 + 8n = (9 + 54n) + 5

Reorder the terms:
16 + 8n = 9 + 5 + 54n

Combine like terms: 9 + 5 = 14
16 + 8n = 14 + 54n

Solving
16 + 8n = 14 + 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 + 8n + -54n = 14 + 54n + -54n

Combine like terms: 8n + -54n = -46n
16 + -46n = 14 + 54n + -54n

Combine like terms: 54n + -54n = 0
16 + -46n = 14 + 0
16 + -46n = 14

Add '-16' to each side of the equation.
16 + -16 + -46n = 14 + -16

Combine like terms: 16 + -16 = 0
0 + -46n = 14 + -16
-46n = 14 + -16

Combine like terms: 14 + -16 = -2
-46n = -2

Divide each side by '-46'.
n = 0.04347826087

Simplifying
n = 0.04347826087

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