A quartet of House Republicans eyeing Senate runs were among the 66 Republicans who voted against the bipartisan compromise to increase the debt limit. GOP Reps. Todd Akin (Mo.), Jason ChaffetzJason ChaffetzIngraham’s ratings spike a wake-up for advertisers Boehner to campaign for House GOP candidates Americans want to protect public lands, Congress should listen MORE (Utah), Denny Rehberg (Mont.) and Jeff FlakeJeffrey (Jeff) Lane FlakeJulian Castro predicts Arizona will 'go blue' for Senate, presidential election GOP anxiety grows over Trump’s Iran decision GOP senator: Trump's comment on Kim Jong Un 'surpasses understanding' MORE (Ariz.) all broke with their party's leadership and opposed the agreement.

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Akin is in a contested primary against former Missouri State Treasurer Sarah Steelman, with businessman and longtime Akin donor John Brunner seriously looking into joining the race. Steelman came out in support of an earlier Republican bill that included a balanced-budget amendment. The eventual Republican nominee will face off against Sen. Claire McCaskillClaire Conner McCaskillOvernight Cybersecurity: DHS cyber nominee vows to make election security 'top priority' | CIA to allow lawmakers to review classified info on Haspel | Dems raise security concerns about Trump's phone use Election security dominates hearing for Trump Homeland Security nominee Overnight Cybersecurity: Homeland Security official says Russia likely targeted more than 21 states | Senate approves Trump's NSA chief | Lawmakers unveil bipartisan internet privacy bill MORE (D-Mo.), who said Monday that while the bill was not perfect, she was "ecstatic about compromise" and that House members would have to "lose their minds" to not pass the bill.

Chaffetz is considering a challenge of longtime Republican Sen. Orrin HatchOrrin Grant HatchSenators to Trump: Let Mueller finish Russia probe Conservative justices signal willingness to uphold travel ban Medical marijuana legislation gets support of key House Republican MORE (Utah), who has said he is unlikely to vote for the deal in the Senate Tuesday. He has been trying to shore up his conservative bona fides since it became clear he could face a challenge from the right, although Chris Chocola, president of the conservative Club for Growth, indicated to The Hill Monday that Hatch's recent votes won't stop the deep-pocketed group from targeting him.

Rehberg is running against Sen. John Tester (D-Mont.), and Flake is running for the Arizona Senate seat that will be vacated by retiring Sen. John Kyl (R).

Chaffetz and Akin are dependent on their state's Tea Party adherents to win their primaries. Flake is unlikely to face a serious primary, but has taken some centrist stances on immigration that have angered some of the state's conservatives.

Rehberg will likely have a clean shot at Tester in the Republican-leaning state. He said he could not support the plan because it did not include a balanced-budget amendment.