3(3n+5)=8(6n+7)+9

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Solution for 3(3n+5)=8(6n+7)+9 equation: 


Simplifying
3(3n + 5) = 8(6n + 7) + 9

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

Reorder the terms:
15 + 9n = 8(7 + 6n) + 9
15 + 9n = (7 * 8 + 6n * 8) + 9
15 + 9n = (56 + 48n) + 9

Reorder the terms:
15 + 9n = 56 + 9 + 48n

Combine like terms: 56 + 9 = 65
15 + 9n = 65 + 48n

Solving
15 + 9n = 65 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
15 + 9n + -48n = 65 + 48n + -48n

Combine like terms: 9n + -48n = -39n
15 + -39n = 65 + 48n + -48n

Combine like terms: 48n + -48n = 0
15 + -39n = 65 + 0
15 + -39n = 65

Add '-15' to each side of the equation.
15 + -15 + -39n = 65 + -15

Combine like terms: 15 + -15 = 0
0 + -39n = 65 + -15
-39n = 65 + -15

Combine like terms: 65 + -15 = 50
-39n = 50

Divide each side by '-39'.
n = -1.282051282

Simplifying
n = -1.282051282

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