Final answer:
Brad has 8n - 20 books, which represents four times the number that Valerie has, and Valerie has five less than double the books of Bill.
Step-by-step explanation:
Let's write an expression for the number of books Brad has.
Firstly, we are told that Valerie has five less than double the number of books that Bill does. If Bill has n books, then Valerie's number of books can be expressed as 2n - 5. Secondly, Brad has four times as many books as Valerie. So to find out how many books Brad has, we multiply Valerie's number of books by four: 4 × (2n - 5).
Therefore, the expression for the number of books that Brad has is 8n - 20.