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

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


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

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

Reorder the terms:
24 + 12n = 6(6 + 5n) + 9
24 + 12n = (6 * 6 + 5n * 6) + 9
24 + 12n = (36 + 30n) + 9

Reorder the terms:
24 + 12n = 36 + 9 + 30n

Combine like terms: 36 + 9 = 45
24 + 12n = 45 + 30n

Solving
24 + 12n = 45 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
24 + 12n + -30n = 45 + 30n + -30n

Combine like terms: 12n + -30n = -18n
24 + -18n = 45 + 30n + -30n

Combine like terms: 30n + -30n = 0
24 + -18n = 45 + 0
24 + -18n = 45

Add '-24' to each side of the equation.
24 + -24 + -18n = 45 + -24

Combine like terms: 24 + -24 = 0
0 + -18n = 45 + -24
-18n = 45 + -24

Combine like terms: 45 + -24 = 21
-18n = 21

Divide each side by '-18'.
n = -1.166666667

Simplifying
n = -1.166666667

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