Final answer:
To solve the equation (5/8 = n/(n-9)), cross-multiply to eliminate the fraction, then combine like terms and divide to isolate n, giving n = -15.
Step-by-step explanation:
To solve for n in the equation (5/8 = n/(n-9)), we need to find a common denominator and then isolate n.
First, cross-multiply to get rid of the fractions: 5(n-9) = 8n.
Then, distribute the 5: 5n - 45 = 8n.
Next, subtract 5n from both sides to get the n terms on one side: -45 = 3n.
Finally, divide both sides by 3 to solve for n: n = -15.