9(3n+2)=9(7n+9)+9

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Solution for 9(3n+2)=9(7n+9)+9 equation: 


Simplifying
9(3n + 2) = 9(7n + 9) + 9

Reorder the terms:
9(2 + 3n) = 9(7n + 9) + 9
(2 * 9 + 3n * 9) = 9(7n + 9) + 9
(18 + 27n) = 9(7n + 9) + 9

Reorder the terms:
18 + 27n = 9(9 + 7n) + 9
18 + 27n = (9 * 9 + 7n * 9) + 9
18 + 27n = (81 + 63n) + 9

Reorder the terms:
18 + 27n = 81 + 9 + 63n

Combine like terms: 81 + 9 = 90
18 + 27n = 90 + 63n

Solving
18 + 27n = 90 + 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.
18 + 27n + -63n = 90 + 63n + -63n

Combine like terms: 27n + -63n = -36n
18 + -36n = 90 + 63n + -63n

Combine like terms: 63n + -63n = 0
18 + -36n = 90 + 0
18 + -36n = 90

Add '-18' to each side of the equation.
18 + -18 + -36n = 90 + -18

Combine like terms: 18 + -18 = 0
0 + -36n = 90 + -18
-36n = 90 + -18

Combine like terms: 90 + -18 = 72
-36n = 72

Divide each side by '-36'.
n = -2

Simplifying
n = -2

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