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Preheat oven to 350 degrees F.
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Grease and flour 3 (9-inch) cake pans,.
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Using an electric mixer, cream butter until fluffy.
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Add sugar and continue to cream well for 6 to 8 minutes.
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Add eggs, 1 at a time, beating well after each addition.
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Add flour and milk alternately to creamed mixture, beginning and ending with flour.
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Add vanilla and continue to beat until just mixed.
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Divide batter equally among prepared pans.
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Level batter in each pan by holding pan 3 or 4 inches above counter, then dropping it flat onto counter.
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Do this several times to release air bubbles and assure you of a more level cake.
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Bake for 25 to 30 minutes or until done.
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Cool in pans 5 to 10 minutes.
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Invert cakes onto cooling racks.
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Cool completely and spread cake layers with your favorite frosting to make a 3-layer cake.