3(2n+3)=9(3n+8)+2

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Solution for 3(2n+3)=9(3n+8)+2 equation: 


Simplifying
3(2n + 3) = 9(3n + 8) + 2

Reorder the terms:
3(3 + 2n) = 9(3n + 8) + 2
(3 * 3 + 2n * 3) = 9(3n + 8) + 2
(9 + 6n) = 9(3n + 8) + 2

Reorder the terms:
9 + 6n = 9(8 + 3n) + 2
9 + 6n = (8 * 9 + 3n * 9) + 2
9 + 6n = (72 + 27n) + 2

Reorder the terms:
9 + 6n = 72 + 2 + 27n

Combine like terms: 72 + 2 = 74
9 + 6n = 74 + 27n

Solving
9 + 6n = 74 + 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.
9 + 6n + -27n = 74 + 27n + -27n

Combine like terms: 6n + -27n = -21n
9 + -21n = 74 + 27n + -27n

Combine like terms: 27n + -27n = 0
9 + -21n = 74 + 0
9 + -21n = 74

Add '-9' to each side of the equation.
9 + -9 + -21n = 74 + -9

Combine like terms: 9 + -9 = 0
0 + -21n = 74 + -9
-21n = 74 + -9

Combine like terms: 74 + -9 = 65
-21n = 65

Divide each side by '-21'.
n = -3.095238095

Simplifying
n = -3.095238095

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