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

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


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

Reorder the terms:
6(5 + 3n) = 8(6n + 5) + 9
(5 * 6 + 3n * 6) = 8(6n + 5) + 9
(30 + 18n) = 8(6n + 5) + 9

Reorder the terms:
30 + 18n = 8(5 + 6n) + 9
30 + 18n = (5 * 8 + 6n * 8) + 9
30 + 18n = (40 + 48n) + 9

Reorder the terms:
30 + 18n = 40 + 9 + 48n

Combine like terms: 40 + 9 = 49
30 + 18n = 49 + 48n

Solving
30 + 18n = 49 + 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.
30 + 18n + -48n = 49 + 48n + -48n

Combine like terms: 18n + -48n = -30n
30 + -30n = 49 + 48n + -48n

Combine like terms: 48n + -48n = 0
30 + -30n = 49 + 0
30 + -30n = 49

Add '-30' to each side of the equation.
30 + -30 + -30n = 49 + -30

Combine like terms: 30 + -30 = 0
0 + -30n = 49 + -30
-30n = 49 + -30

Combine like terms: 49 + -30 = 19
-30n = 19

Divide each side by '-30'.
n = -0.6333333333

Simplifying
n = -0.6333333333

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