3(2n+5)=9(3n+7)+8

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Solution for 3(2n+5)=9(3n+7)+8 equation: 


Simplifying
3(2n + 5) = 9(3n + 7) + 8

Reorder the terms:
3(5 + 2n) = 9(3n + 7) + 8
(5 * 3 + 2n * 3) = 9(3n + 7) + 8
(15 + 6n) = 9(3n + 7) + 8

Reorder the terms:
15 + 6n = 9(7 + 3n) + 8
15 + 6n = (7 * 9 + 3n * 9) + 8
15 + 6n = (63 + 27n) + 8

Reorder the terms:
15 + 6n = 63 + 8 + 27n

Combine like terms: 63 + 8 = 71
15 + 6n = 71 + 27n

Solving
15 + 6n = 71 + 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.
15 + 6n + -27n = 71 + 27n + -27n

Combine like terms: 6n + -27n = -21n
15 + -21n = 71 + 27n + -27n

Combine like terms: 27n + -27n = 0
15 + -21n = 71 + 0
15 + -21n = 71

Add '-15' to each side of the equation.
15 + -15 + -21n = 71 + -15

Combine like terms: 15 + -15 = 0
0 + -21n = 71 + -15
-21n = 71 + -15

Combine like terms: 71 + -15 = 56
-21n = 56

Divide each side by '-21'.
n = -2.666666667

Simplifying
n = -2.666666667

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