3(2n+5)=9(8n+5)+7

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Solution for 3(2n+5)=9(8n+5)+7 equation: 


Simplifying
3(2n + 5) = 9(8n + 5) + 7

Reorder the terms:
3(5 + 2n) = 9(8n + 5) + 7
(5 * 3 + 2n * 3) = 9(8n + 5) + 7
(15 + 6n) = 9(8n + 5) + 7

Reorder the terms:
15 + 6n = 9(5 + 8n) + 7
15 + 6n = (5 * 9 + 8n * 9) + 7
15 + 6n = (45 + 72n) + 7

Reorder the terms:
15 + 6n = 45 + 7 + 72n

Combine like terms: 45 + 7 = 52
15 + 6n = 52 + 72n

Solving
15 + 6n = 52 + 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.
15 + 6n + -72n = 52 + 72n + -72n

Combine like terms: 6n + -72n = -66n
15 + -66n = 52 + 72n + -72n

Combine like terms: 72n + -72n = 0
15 + -66n = 52 + 0
15 + -66n = 52

Add '-15' to each side of the equation.
15 + -15 + -66n = 52 + -15

Combine like terms: 15 + -15 = 0
0 + -66n = 52 + -15
-66n = 52 + -15

Combine like terms: 52 + -15 = 37
-66n = 37

Divide each side by '-66'.
n = -0.5606060606

Simplifying
n = -0.5606060606

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