3(3n+5)=9(6n+7)+3

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Solution for 3(3n+5)=9(6n+7)+3 equation: 


Simplifying
3(3n + 5) = 9(6n + 7) + 3

Reorder the terms:
3(5 + 3n) = 9(6n + 7) + 3
(5 * 3 + 3n * 3) = 9(6n + 7) + 3
(15 + 9n) = 9(6n + 7) + 3

Reorder the terms:
15 + 9n = 9(7 + 6n) + 3
15 + 9n = (7 * 9 + 6n * 9) + 3
15 + 9n = (63 + 54n) + 3

Reorder the terms:
15 + 9n = 63 + 3 + 54n

Combine like terms: 63 + 3 = 66
15 + 9n = 66 + 54n

Solving
15 + 9n = 66 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
15 + 9n + -54n = 66 + 54n + -54n

Combine like terms: 9n + -54n = -45n
15 + -45n = 66 + 54n + -54n

Combine like terms: 54n + -54n = 0
15 + -45n = 66 + 0
15 + -45n = 66

Add '-15' to each side of the equation.
15 + -15 + -45n = 66 + -15

Combine like terms: 15 + -15 = 0
0 + -45n = 66 + -15
-45n = 66 + -15

Combine like terms: 66 + -15 = 51
-45n = 51

Divide each side by '-45'.
n = -1.133333333

Simplifying
n = -1.133333333

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