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Catalina Camia, USA TODAY

Tea Party favorite Sharron Angle says "it's a possibility" she might run for the U.S. Senate again.

Angle lost a 2010 race in Nevada to Harry Reid, the top Democrat in the Senate. She did not rule out another Senate bid, according to a local newspaper story about her remarks this weekend to the Elko County Republican Party.

"Certainly, we need to replace Harry Reid's leadership and it would be nice to have different person representing our state as well," Angle said, according to the Elko Daily Free Press. She encouraged audience members to run for office.

"If you believe in representative government, then you have to be willing to be one of those representatives. And I'm willing," Angle is quoted as saying.

Reid defeated Angle by nearly 6 percentage points, easily winning election to a fifth term despite being a top GOP target. Angle was depicted as an extremist by Reid, and she was one of several Tea Party candidates in 2010 who lost what at one time was a winnable race.

Angle, a former state assemblywoman, is promoting her book, Right Angle: One Woman's Journey to Reclaim the Constitution.

Angle ruled out a 2012 race for the Senate in Nevada. Reid said recently "sure, why not" when asked if he'd run again in 2016.