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

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


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

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

Reorder the terms:
18 + 18n = 8(3 + 9n) + 3
18 + 18n = (3 * 8 + 9n * 8) + 3
18 + 18n = (24 + 72n) + 3

Reorder the terms:
18 + 18n = 24 + 3 + 72n

Combine like terms: 24 + 3 = 27
18 + 18n = 27 + 72n

Solving
18 + 18n = 27 + 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.
18 + 18n + -72n = 27 + 72n + -72n

Combine like terms: 18n + -72n = -54n
18 + -54n = 27 + 72n + -72n

Combine like terms: 72n + -72n = 0
18 + -54n = 27 + 0
18 + -54n = 27

Add '-18' to each side of the equation.
18 + -18 + -54n = 27 + -18

Combine like terms: 18 + -18 = 0
0 + -54n = 27 + -18
-54n = 27 + -18

Combine like terms: 27 + -18 = 9
-54n = 9

Divide each side by '-54'.
n = -0.1666666667

Simplifying
n = -0.1666666667

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