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In small saucepan, heat raspberries with 1 T sugar until boiling.
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In small bowl, mix 1/2 T cornstarch with 1/2 T water. Add to hot mixture, stirring quickly to avoid lumps. Set aside to cool.
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In small saucepan, melt 4 T butter. Add 2 T sugar and the graham cracker crumbs. Mix thoroughly and then press into the bottom of a greased 8" springform pan.
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In mixing bowl, combine cream cheese and sugar, stirring until smooth. Add eggs one at a time, mixing gently with each addition.
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In small bowl, mix 1/2 T cornstarch with 1/2 T water. Add to cream cheese mixture and stir.
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Divide batter in half. Add the cooled raspberry mixture to one half; add 1/2 T vanilla and 1/2 c sour cream to second half.
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Pour 1/2 of vanilla batter into prepared pan, covering the crust. Carefully spread the raspberry batter on top, using a ladle or wide spoon. Finish by carefully spreading the rest of the vanilla batter on top.
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Bake at 350 degrees for 30 minutes. Move temperature down to 325 degrees, cover loosely with foil, and bake 45 minutes longer.
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After your cheesecake is finished baking, turn off oven, open the oven door, and allow to cool in oven for 15 minutes before removing to cooling rack. Chill at least 4 hours before serving.