Anita Dunn, a close friend of President Obama and his former White House communications director, worked with Kaplan University, one of the embattled school networks. Jamie Rubin, a major fund-raising bundler for the president’s re-election campaign, met with administration officials about ATI, a college network based in Dallas, in which Mr. Rubin’s private-equity firm has a stake.

A who’s who of Democratic lobbyists — including Richard A. Gephardt, the former House majority leader; John Breaux, the former Louisiana senator; and Tony Podesta, whose brother, John, ran Mr. Obama’s transition team — were hired to buttonhole officials.

And politically well-connected investors, including Donald E. Graham, chief executive of the Washington Post Company, which owns Kaplan, and John Sperling, founder of the University of Phoenix and a longtime friend of the House minority leader, Nancy Pelosi, made impassioned appeals.

In all, industry advocates met more than two dozen times with White House and Education Department officials, including senior officials like Education Secretary Arne Duncan, records show, even as Mr. Obama has vowed to reduce the “outsize” influence of lobbyists and special interests in Washington.

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