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Preheat oven to 350 degrees F (175 degrees C).
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Grease the bottom of a 9 inch springform pan.
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In a small bowl, mix together brownie mix, 1 egg and water.
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Spread into the greased pan.
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Bake for 25 minutes.
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Melt the caramels with the evaporated milk over low heat in a heavy saucepan.
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Stir often, and heat until mixture has a smooth consistency.
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Reserve 1/3 cup of this caramel mixture, and pour the remainder over the warm, baked brownie crust.
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In a large bowl, beat the cream cheese, sugar and vanilla with an electric mixer until smooth.
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Add eggs one at a time, beating well after each addition.
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Pour cream cheese mixture over caramel mixture.
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Bake cheesecake for 40 minutes.
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Chill in pan.
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When cake is thoroughly chilled, loosen by running a knife around the edge, and then remove the rim of the pan.
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Heat reserved caramel mixture, and spoon over cheesecake.
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Drizzle with the chocolate topping.