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In 2002, Linda won (along with Kurt Bestor, Sam Cardon, David Foster, Michael Kamen, Moby and John Williams) the Special Recognition Award at the BMI Film & TV Awards for her work on the 2002 Winter Olympics.
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In 1994, Linda was nominated (along with David Foster) for a Grammy Award in the category of Best Song Written Specifically for a Motion Picture or for Television for the song "I Have Nothing", as heard in the 1992 film The Bodyguard.
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In 2007, Linda won (along with fellow cast members) the Entertainer's Award at the TV Land Awards for her work on the television series Hee Haw.