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

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


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

Reorder the terms:
5(5 + 3n) = 9(8n + 7) + 5
(5 * 5 + 3n * 5) = 9(8n + 7) + 5
(25 + 15n) = 9(8n + 7) + 5

Reorder the terms:
25 + 15n = 9(7 + 8n) + 5
25 + 15n = (7 * 9 + 8n * 9) + 5
25 + 15n = (63 + 72n) + 5

Reorder the terms:
25 + 15n = 63 + 5 + 72n

Combine like terms: 63 + 5 = 68
25 + 15n = 68 + 72n

Solving
25 + 15n = 68 + 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.
25 + 15n + -72n = 68 + 72n + -72n

Combine like terms: 15n + -72n = -57n
25 + -57n = 68 + 72n + -72n

Combine like terms: 72n + -72n = 0
25 + -57n = 68 + 0
25 + -57n = 68

Add '-25' to each side of the equation.
25 + -25 + -57n = 68 + -25

Combine like terms: 25 + -25 = 0
0 + -57n = 68 + -25
-57n = 68 + -25

Combine like terms: 68 + -25 = 43
-57n = 43

Divide each side by '-57'.
n = -0.7543859649

Simplifying
n = -0.7543859649

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