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In a large skillet over medium-high heat, brown the ground beef until no longer pink.
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Add the onion, garlic, pepper and mushrooms and cook until vegetables are tender, about 5 minutes.
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Stir in the beef broth, steak sauce and steak seasoning.
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Season with salt and pepper to taste.
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Cook for a few more minutes, until mixture begins to bubble.
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Preheat broiler.
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Place buns an a large baking sheet.
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Spoon a generous amount of filling onto each bottom bun and top with a slice of cheese.
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Broil until cheese is melted and buns are golden brown.
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Drizzle with additional steak sauce, if desired.