9(3n+3)=9(7n+1)+6

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Solution for 9(3n+3)=9(7n+1)+6 equation: 


Simplifying
9(3n + 3) = 9(7n + 1) + 6

Reorder the terms:
9(3 + 3n) = 9(7n + 1) + 6
(3 * 9 + 3n * 9) = 9(7n + 1) + 6
(27 + 27n) = 9(7n + 1) + 6

Reorder the terms:
27 + 27n = 9(1 + 7n) + 6
27 + 27n = (1 * 9 + 7n * 9) + 6
27 + 27n = (9 + 63n) + 6

Reorder the terms:
27 + 27n = 9 + 6 + 63n

Combine like terms: 9 + 6 = 15
27 + 27n = 15 + 63n

Solving
27 + 27n = 15 + 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 = 15 + 63n + -63n

Combine like terms: 27n + -63n = -36n
27 + -36n = 15 + 63n + -63n

Combine like terms: 63n + -63n = 0
27 + -36n = 15 + 0
27 + -36n = 15

Add '-27' to each side of the equation.
27 + -27 + -36n = 15 + -27

Combine like terms: 27 + -27 = 0
0 + -36n = 15 + -27
-36n = 15 + -27

Combine like terms: 15 + -27 = -12
-36n = -12

Divide each side by '-36'.
n = 0.3333333333

Simplifying
n = 0.3333333333

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