WASHINGTON — The Supreme Court on Monday rejected BP’s challenge to a multibillion-dollar settlement arising from the massive 2010 Gulf of Mexico oil spill, declining to hear the company’s case that it is being forced to compensate businesses with losses unrelated to the disaster.

BP had waged a major public relations battle and hired an all-star battalion of lawyers to make the case that federal courts and the claims administrator misread the agreement that sought to settle claims related to the nation’s worst offshore oil spill.

But the court without comment declined to review lower-court rulings that rejected BP’s claims. Those courts said the company must abide by an agreement that did not require the kind of proof BP now insists upon.

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