2(3n+5)=6(6n+9)+9

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Solution for 2(3n+5)=6(6n+9)+9 equation: 


Simplifying
2(3n + 5) = 6(6n + 9) + 9

Reorder the terms:
2(5 + 3n) = 6(6n + 9) + 9
(5 * 2 + 3n * 2) = 6(6n + 9) + 9
(10 + 6n) = 6(6n + 9) + 9

Reorder the terms:
10 + 6n = 6(9 + 6n) + 9
10 + 6n = (9 * 6 + 6n * 6) + 9
10 + 6n = (54 + 36n) + 9

Reorder the terms:
10 + 6n = 54 + 9 + 36n

Combine like terms: 54 + 9 = 63
10 + 6n = 63 + 36n

Solving
10 + 6n = 63 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
10 + 6n + -36n = 63 + 36n + -36n

Combine like terms: 6n + -36n = -30n
10 + -30n = 63 + 36n + -36n

Combine like terms: 36n + -36n = 0
10 + -30n = 63 + 0
10 + -30n = 63

Add '-10' to each side of the equation.
10 + -10 + -30n = 63 + -10

Combine like terms: 10 + -10 = 0
0 + -30n = 63 + -10
-30n = 63 + -10

Combine like terms: 63 + -10 = 53
-30n = 53

Divide each side by '-30'.
n = -1.766666667

Simplifying
n = -1.766666667

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