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

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


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

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

Reorder the terms:
27 + 27n = 7(6 + 9n) + 8
27 + 27n = (6 * 7 + 9n * 7) + 8
27 + 27n = (42 + 63n) + 8

Reorder the terms:
27 + 27n = 42 + 8 + 63n

Combine like terms: 42 + 8 = 50
27 + 27n = 50 + 63n

Solving
27 + 27n = 50 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
27 + 27n + -63n = 50 + 63n + -63n

Combine like terms: 27n + -63n = -36n
27 + -36n = 50 + 63n + -63n

Combine like terms: 63n + -63n = 0
27 + -36n = 50 + 0
27 + -36n = 50

Add '-27' to each side of the equation.
27 + -27 + -36n = 50 + -27

Combine like terms: 27 + -27 = 0
0 + -36n = 50 + -27
-36n = 50 + -27

Combine like terms: 50 + -27 = 23
-36n = 23

Divide each side by '-36'.
n = -0.6388888889

Simplifying
n = -0.6388888889

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