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Place beef in a crock pot.
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In a small bowl, combine consommé, soy sauce, brown sugar/honey, oil, and garlic. Pour over beef. Cook on low for 6-8 hours.
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In a cup, stir cornstarch and sauce form the crock pot until smooth. Add to crock pot. Stir well to combine. (If your sauce is not thickening, try bringing your sauce to a boil on the stove top with the corn starch mixture. Boil until your desired consistency is reached).
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Add broccoli to the crock pot. Stir to combine.
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Cover and cook an additional 30 minutes on high (the sauce has to boil for it to thicken).
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Serve over hot cooked rice.