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Preheat oven to 350 degrees.
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Place the pork tenderloin in a small roasting pan. In a separate small bowl, combine the garlic, ground black pepper, salt and olive oil. Mix this well and spread over the pork.
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Place the carrots and potatoes around the meat. Combine the soy sauce and 1 cup water in a separate small bowl and pour over the vegetables around the roast. Cover all tightly with foil.
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Bake at 350 degrees F for 1 to 1 1/2 hours, or until the internal pork temperature reaches 160 degreesF.
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Transfer the roast and vegetables to a serving platter and pour the liquid from the roasting pan into a small saucepan over medium heat.
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In a separate small bowl, dissolve the cornstarch in the remaining 1/4 cup water and add to liquid in pan.
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Stir well and allow sauce to thicken.