John Barrasso

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Sen. John Barrasso foresees mounting labor opposition to President Obama’s health care law and an “outcry” if a deal is cut to accommodate unions. (Associated Press)

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** FILE ** Sen. John Barrasso, R-Wyo. (Associated Pess)

**FILE** Senate Minority Leader Mitch McConnell, Kentucky Republican, accompanied by Senate Minority Whip John Cornyn (right), Texas Republican, and Sen. John Barrasso, Wyoming Republican, speaks with reporters on Capitol Hill in Washington on June 18, 2013. (Associated Press)

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** FILE ** Sen. John Barrasso, Wyoming Republican, speaks to reporters at the Capitol in Washington on Wednesday, Dec. 19, 2012. (AP Photo/J. Scott Applewhite)

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**FILE** Having labeled it "Debt on Arrival," Republican Sens. Jeff Sessions (left) of Alabama, the Senate Budget Committee's ranking member, and John Barrasso of Wyoming react to President Obama's fiscal 2013 federal budget on Feb. 13, 2012, during a news conference on Capitol Hill. (Associated Press)

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Senate Minority Whip Jon Kyl of Arizona, accompanied by fellow Republicans Sen. John Barrasso of Wyoming (left) and Senate Minority Leader Mitch McConnell of Kentucky (right), criticizes Democrats on the deadlocked bipartisan payroll-tax conference panel Tuesday at a news conference. (Associated Press)

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Flanked by fellow Republican Sens. Kelly Ayotte of New Hampshire and John Barrasso of Wyoming, Senate Minority Leader Mitch McConnell of Kentucky speaks to reporters Tuesday. "The debate has turned from how much to grow government to how much to reduce it," he said. (Associated Press)