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Even though Congress ended up passing the 2010 health care law, Mr. Obama’s travel around the country promoting it in the weeks ahead of the vote may have hurt more than it helped.

Polls before the president’s final health care tour in March 2010 showed slightly more Americans opposing the health care bill than supporting it. Later that month, voters disapproved of the bill 49 percent to 40 percent, according to a Quinnipiac University poll taken the week after the House vote in late March.

After the bitter, partisan battle health care battle, a wave of conservative anger over the health care law propelled Republicans into the House majority in the November 2010 elections.