9(2n+3)=8(6n+6)+8

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Solution for 9(2n+3)=8(6n+6)+8 equation: 


Simplifying
9(2n + 3) = 8(6n + 6) + 8

Reorder the terms:
9(3 + 2n) = 8(6n + 6) + 8
(3 * 9 + 2n * 9) = 8(6n + 6) + 8
(27 + 18n) = 8(6n + 6) + 8

Reorder the terms:
27 + 18n = 8(6 + 6n) + 8
27 + 18n = (6 * 8 + 6n * 8) + 8
27 + 18n = (48 + 48n) + 8

Reorder the terms:
27 + 18n = 48 + 8 + 48n

Combine like terms: 48 + 8 = 56
27 + 18n = 56 + 48n

Solving
27 + 18n = 56 + 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.
27 + 18n + -48n = 56 + 48n + -48n

Combine like terms: 18n + -48n = -30n
27 + -30n = 56 + 48n + -48n

Combine like terms: 48n + -48n = 0
27 + -30n = 56 + 0
27 + -30n = 56

Add '-27' to each side of the equation.
27 + -27 + -30n = 56 + -27

Combine like terms: 27 + -27 = 0
0 + -30n = 56 + -27
-30n = 56 + -27

Combine like terms: 56 + -27 = 29
-30n = 29

Divide each side by '-30'.
n = -0.9666666667

Simplifying
n = -0.9666666667

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