# How do you solve #8/n=3/(n-5)#?

Given:

That is:

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To solve the equation 8/n = 3/(n-5), you can cross-multiply. Multiply 8 by (n-5) and multiply 3 by n. This gives you 8(n-5) = 3n. Distribute 8 to n and -5, which gives you 8n - 40 = 3n. Next, subtract 3n from both sides of the equation, resulting in 8n - 3n - 40 = 0. Simplify the equation to 5n - 40 = 0. Add 40 to both sides, giving you 5n = 40. Finally, divide both sides by 5, which gives you n = 8. Therefore, the solution to the equation is n = 8.

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