3(3n+5)=9(7n+9)+8

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Solution for 3(3n+5)=9(7n+9)+8 equation: 


Simplifying
3(3n + 5) = 9(7n + 9) + 8

Reorder the terms:
3(5 + 3n) = 9(7n + 9) + 8
(5 * 3 + 3n * 3) = 9(7n + 9) + 8
(15 + 9n) = 9(7n + 9) + 8

Reorder the terms:
15 + 9n = 9(9 + 7n) + 8
15 + 9n = (9 * 9 + 7n * 9) + 8
15 + 9n = (81 + 63n) + 8

Reorder the terms:
15 + 9n = 81 + 8 + 63n

Combine like terms: 81 + 8 = 89
15 + 9n = 89 + 63n

Solving
15 + 9n = 89 + 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.
15 + 9n + -63n = 89 + 63n + -63n

Combine like terms: 9n + -63n = -54n
15 + -54n = 89 + 63n + -63n

Combine like terms: 63n + -63n = 0
15 + -54n = 89 + 0
15 + -54n = 89

Add '-15' to each side of the equation.
15 + -15 + -54n = 89 + -15

Combine like terms: 15 + -15 = 0
0 + -54n = 89 + -15
-54n = 89 + -15

Combine like terms: 89 + -15 = 74
-54n = 74

Divide each side by '-54'.
n = -1.37037037

Simplifying
n = -1.37037037

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