2(3n+4)=9(8n+2)+5

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Solution for 2(3n+4)=9(8n+2)+5 equation: 


Simplifying
2(3n + 4) = 9(8n + 2) + 5

Reorder the terms:
2(4 + 3n) = 9(8n + 2) + 5
(4 * 2 + 3n * 2) = 9(8n + 2) + 5
(8 + 6n) = 9(8n + 2) + 5

Reorder the terms:
8 + 6n = 9(2 + 8n) + 5
8 + 6n = (2 * 9 + 8n * 9) + 5
8 + 6n = (18 + 72n) + 5

Reorder the terms:
8 + 6n = 18 + 5 + 72n

Combine like terms: 18 + 5 = 23
8 + 6n = 23 + 72n

Solving
8 + 6n = 23 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
8 + 6n + -72n = 23 + 72n + -72n

Combine like terms: 6n + -72n = -66n
8 + -66n = 23 + 72n + -72n

Combine like terms: 72n + -72n = 0
8 + -66n = 23 + 0
8 + -66n = 23

Add '-8' to each side of the equation.
8 + -8 + -66n = 23 + -8

Combine like terms: 8 + -8 = 0
0 + -66n = 23 + -8
-66n = 23 + -8

Combine like terms: 23 + -8 = 15
-66n = 15

Divide each side by '-66'.
n = -0.2272727273

Simplifying
n = -0.2272727273

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