"Simplify the following expression to a Sum of Products, then use a Karnaugh map to produce a corresponding minimal Sum of Products"

Use 4 boolean values, and label them d, e, f, and g. Your problem should make use of all 4 values, and your initial expression should contain at least one set of brackets, two "and" operations, and one "not" operation. Your expression must not start as a Sum of Products, and must require the use of one of the Distributive Laws to simplify.