6(2n+4)=8(9n+5)+9

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Solution for 6(2n+4)=8(9n+5)+9 equation: 


Simplifying
6(2n + 4) = 8(9n + 5) + 9

Reorder the terms:
6(4 + 2n) = 8(9n + 5) + 9
(4 * 6 + 2n * 6) = 8(9n + 5) + 9
(24 + 12n) = 8(9n + 5) + 9

Reorder the terms:
24 + 12n = 8(5 + 9n) + 9
24 + 12n = (5 * 8 + 9n * 8) + 9
24 + 12n = (40 + 72n) + 9

Reorder the terms:
24 + 12n = 40 + 9 + 72n

Combine like terms: 40 + 9 = 49
24 + 12n = 49 + 72n

Solving
24 + 12n = 49 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
24 + 12n + -72n = 49 + 72n + -72n

Combine like terms: 12n + -72n = -60n
24 + -60n = 49 + 72n + -72n

Combine like terms: 72n + -72n = 0
24 + -60n = 49 + 0
24 + -60n = 49

Add '-24' to each side of the equation.
24 + -24 + -60n = 49 + -24

Combine like terms: 24 + -24 = 0
0 + -60n = 49 + -24
-60n = 49 + -24

Combine like terms: 49 + -24 = 25
-60n = 25

Divide each side by '-60'.
n = -0.4166666667

Simplifying
n = -0.4166666667

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