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

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


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

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

Reorder the terms:
9 + 27n = 7(3 + 9n) + 9
9 + 27n = (3 * 7 + 9n * 7) + 9
9 + 27n = (21 + 63n) + 9

Reorder the terms:
9 + 27n = 21 + 9 + 63n

Combine like terms: 21 + 9 = 30
9 + 27n = 30 + 63n

Solving
9 + 27n = 30 + 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.
9 + 27n + -63n = 30 + 63n + -63n

Combine like terms: 27n + -63n = -36n
9 + -36n = 30 + 63n + -63n

Combine like terms: 63n + -63n = 0
9 + -36n = 30 + 0
9 + -36n = 30

Add '-9' to each side of the equation.
9 + -9 + -36n = 30 + -9

Combine like terms: 9 + -9 = 0
0 + -36n = 30 + -9
-36n = 30 + -9

Combine like terms: 30 + -9 = 21
-36n = 21

Divide each side by '-36'.
n = -0.5833333333

Simplifying
n = -0.5833333333

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