6(3n+2)=9(4n+1)+9

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Solution for 6(3n+2)=9(4n+1)+9 equation: 


Simplifying
6(3n + 2) = 9(4n + 1) + 9

Reorder the terms:
6(2 + 3n) = 9(4n + 1) + 9
(2 * 6 + 3n * 6) = 9(4n + 1) + 9
(12 + 18n) = 9(4n + 1) + 9

Reorder the terms:
12 + 18n = 9(1 + 4n) + 9
12 + 18n = (1 * 9 + 4n * 9) + 9
12 + 18n = (9 + 36n) + 9

Reorder the terms:
12 + 18n = 9 + 9 + 36n

Combine like terms: 9 + 9 = 18
12 + 18n = 18 + 36n

Solving
12 + 18n = 18 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
12 + 18n + -36n = 18 + 36n + -36n

Combine like terms: 18n + -36n = -18n
12 + -18n = 18 + 36n + -36n

Combine like terms: 36n + -36n = 0
12 + -18n = 18 + 0
12 + -18n = 18

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

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

Combine like terms: 18 + -12 = 6
-18n = 6

Divide each side by '-18'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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