6(5+12n)=9(-3+6n)+3

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Solution for 6(5+12n)=9(-3+6n)+3 equation: 


Simplifying
6(5 + 12n) = 9(-3 + 6n) + 3
(5 * 6 + 12n * 6) = 9(-3 + 6n) + 3
(30 + 72n) = 9(-3 + 6n) + 3
30 + 72n = (-3 * 9 + 6n * 9) + 3
30 + 72n = (-27 + 54n) + 3

Reorder the terms:
30 + 72n = -27 + 3 + 54n

Combine like terms: -27 + 3 = -24
30 + 72n = -24 + 54n

Solving
30 + 72n = -24 + 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.
30 + 72n + -54n = -24 + 54n + -54n

Combine like terms: 72n + -54n = 18n
30 + 18n = -24 + 54n + -54n

Combine like terms: 54n + -54n = 0
30 + 18n = -24 + 0
30 + 18n = -24

Add '-30' to each side of the equation.
30 + -30 + 18n = -24 + -30

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

Combine like terms: -24 + -30 = -54
18n = -54

Divide each side by '18'.
n = -3

Simplifying
n = -3

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