At the conclusion of a hearing and following deliberation by the Board, a copy of the Board’s report shall be served upon the applicant, licensee, or unlicensed person by the Department, either personally or as provided in this Act for the service of a notice of hearing. Within 20 days after service, the applicant or licensee may present to the Department a motion in writing for a rehearing, which shall specify the particular grounds for rehearing. The Department may respond to the motion, or if a motion for rehearing is denied, then upon denial, and except as provided in Section 20-72 of this Act, the Secretary may enter an order in accordance with the recommendations of the Board. If the applicant or licensee orders from the reporting service and pays for a transcript of the record within the time for filing a motion for rehearing, then the 20-day period within which a motion may be filed shall commence upon the delivery of the transcript to the applicant or licensee.