3(2n+4)=9(5n+3)+9

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Solution for 3(2n+4)=9(5n+3)+9 equation: 


Simplifying
3(2n + 4) = 9(5n + 3) + 9

Reorder the terms:
3(4 + 2n) = 9(5n + 3) + 9
(4 * 3 + 2n * 3) = 9(5n + 3) + 9
(12 + 6n) = 9(5n + 3) + 9

Reorder the terms:
12 + 6n = 9(3 + 5n) + 9
12 + 6n = (3 * 9 + 5n * 9) + 9
12 + 6n = (27 + 45n) + 9

Reorder the terms:
12 + 6n = 27 + 9 + 45n

Combine like terms: 27 + 9 = 36
12 + 6n = 36 + 45n

Solving
12 + 6n = 36 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
12 + 6n + -45n = 36 + 45n + -45n

Combine like terms: 6n + -45n = -39n
12 + -39n = 36 + 45n + -45n

Combine like terms: 45n + -45n = 0
12 + -39n = 36 + 0
12 + -39n = 36

Add '-12' to each side of the equation.
12 + -12 + -39n = 36 + -12

Combine like terms: 12 + -12 = 0
0 + -39n = 36 + -12
-39n = 36 + -12

Combine like terms: 36 + -12 = 24
-39n = 24

Divide each side by '-39'.
n = -0.6153846154

Simplifying
n = -0.6153846154

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