Final answer:
To solve the equation -5=(-k-16)/(5k+9), cross multiply to eliminate the fractions. Combine like terms and solve for k by dividing both sides by -24.
Step-by-step explanation:
To solve the equation -5=(-k-16)/(5k+9), we can cross multiply to eliminate the fractions. So we have -5(5k+9) = -k-16. Distributing the -5 gives -25k - 45 = -k - 16. Next, we can combine like terms by adding k to both sides and subtracting -45 from both sides to get -25k + k = -16 + 45. Simplifying further, we have -24k = 29. Finally, we divide both sides by -24 to solve for k, which gives k = 29/-24 or approximately k = -1.21.