While in Congress, Brewster served on various committees, including Public Works and Transportation, Veterans' Affairs, Ways and Means, and Transportation and Infrastructure. As a center-right Democrat, the congressman early on developed a reputation as one whose vote could be pursued and won. A staunch supporter of business, he often remarked that if legislation hurt business, he would oppose it. The only registered pharmacist in the House, he brought a different perspective to the issue of higher drug prices. This expertise was especially beneficial when he served on the Hospitals and Health Care Subcommittee of the Veterans Affairs Committee. While a member of the Ways and Means Committee, Brewster often differed with the Bill Clinton White House on such issues as the crime bill, health care, and the budget. Perhaps one of his most controversial stands involved gun control. A life member of the National Rifle Association (NRA), Brewster was a strong supporter of Second Amendment rights and had a 100 percent NRA voting record. As the co-chair of the Congressional Sportsman's Caucus, the Oklahoman often found himself at odds with environmental and animal rights activists, he believed wanted to end "consumptive" use of wildlife.
In 1996 Brewster decided not to seek a fourth congressional term. Shortly after he left Congress, he joined R. Duffy Wall and Associates, a Washington, D.C., lobbying firm. In 2001 he served as president and chief operating officer of this firm.
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