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

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


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

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

Reorder the terms:
10 + 6n = 9(9 + 3n) + 2
10 + 6n = (9 * 9 + 3n * 9) + 2
10 + 6n = (81 + 27n) + 2

Reorder the terms:
10 + 6n = 81 + 2 + 27n

Combine like terms: 81 + 2 = 83
10 + 6n = 83 + 27n

Solving
10 + 6n = 83 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
10 + 6n + -27n = 83 + 27n + -27n

Combine like terms: 6n + -27n = -21n
10 + -21n = 83 + 27n + -27n

Combine like terms: 27n + -27n = 0
10 + -21n = 83 + 0
10 + -21n = 83

Add '-10' to each side of the equation.
10 + -10 + -21n = 83 + -10

Combine like terms: 10 + -10 = 0
0 + -21n = 83 + -10
-21n = 83 + -10

Combine like terms: 83 + -10 = 73
-21n = 73

Divide each side by '-21'.
n = -3.476190476

Simplifying
n = -3.476190476

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