This problem shows how we can find the long-run amount of a drug (e.g., ampicillin) in a patient's body without using a geometric series. Suppose that a patient takes a pill containing 220 mg of ampicillin every 6 hours, and that at the end of 6 hours 5 percent of the amount in the patient's body at the beginning of the 6 hour period remains. With $Q_n$ giving the amount of ampicillin in the patient's body after taking the nth pill, this results in the amount of the drug in the patient's body being given by the graph shown below.

In the long run the ampicillin levels off to $Q$ mg right after each tablet is taken. Six hours later, right before the next dose, there will be less ampicillin in the body. However, if stability has been reached, the amount of ampicillin that has been excreted is exactly 220 mg because taking one more tablet raises the level back to $Q$ mg.

Write an equation involving $Q$ that expresses this relationship.
$220 =$

Solve your equation for $Q$ to find the long-term maximum amount of the drug in the patient's body.
$Q =$