3(3n+4)=9(3n+2)+6

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Solution for 3(3n+4)=9(3n+2)+6 equation: 


Simplifying
3(3n + 4) = 9(3n + 2) + 6

Reorder the terms:
3(4 + 3n) = 9(3n + 2) + 6
(4 * 3 + 3n * 3) = 9(3n + 2) + 6
(12 + 9n) = 9(3n + 2) + 6

Reorder the terms:
12 + 9n = 9(2 + 3n) + 6
12 + 9n = (2 * 9 + 3n * 9) + 6
12 + 9n = (18 + 27n) + 6

Reorder the terms:
12 + 9n = 18 + 6 + 27n

Combine like terms: 18 + 6 = 24
12 + 9n = 24 + 27n

Solving
12 + 9n = 24 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
12 + 9n + -27n = 24 + 27n + -27n

Combine like terms: 9n + -27n = -18n
12 + -18n = 24 + 27n + -27n

Combine like terms: 27n + -27n = 0
12 + -18n = 24 + 0
12 + -18n = 24

Add '-12' to each side of the equation.
12 + -12 + -18n = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -18n = 24 + -12
-18n = 24 + -12

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

Divide each side by '-18'.
n = -0.6666666667

Simplifying
n = -0.6666666667

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