(4)/(n-3)=(5)/(n+2) Given the equation above , what is the value of n? A) -7 B) -2 C) 8 D) 23

To solve the equation $\frac{4}{n-3} = \frac{5}{n+2}$, we can cross-multiply to get:<br /><br />$4(n+2) = 5(n-3)$<br /><br />Expanding both sides, we have:<br /><br />$4n + 8 = 5n - 15$<br /><br />Rearranging the terms, we get:<br /><br />$5n - 4n = 8 + 15$<br /><br />$n = 23$<br /><br />Therefore, the value of n is 23.