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Graham was serving as chairman of the Senate Budget Committee and was running for a fifth six-year term in the Senate this November.
A senior Graham aide told NBC News early Sunday that there had been no indication the senator was experiencing health problems before his death.
Graham had been scheduled to appear on NBC News’ Meet the Press Sunday morning, a program on which he had been a frequent guest, making 63 appearances over the years.
Per South Carolina law, McMaster will have to appoint someone to fill Graham’s seat until Jan. 3, 2027. It’s not clear yet who he will choose.
With the general election scheduled for November, South Carolina Republicans must now select a new nominee, with state election law expected to require a special primary by Aug. 11.
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