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Preheat oven to 350 degrees F.
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Line 2 (1/2 cup-12 capacity) muffin tins with cupcake papers.
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In a small bowl, combine the flours. Set aside.
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In a large bowl, on the medium speed of an electric mixer, cream the butter until smooth.
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Add the sugar gradually and beat until fluffy, about 3 minutes.
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Add the eggs, 1 at a time, beating well after each addition.
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Add the dry ingredients in 3 parts, alternating with the milk and vanilla. With each addition, beat until the ingredients are incorporated but do not over beat.
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Using a rubber spatula, scrape down the batter in the bowl to make sure the ingredients are well blended.
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Carefully spoon the batter into the cupcake liners, filling them about 3/4 full.
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Bake for 20 to 25 minutes, or until a cake tester inserted into the center of the cupcake comes out clean.
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Cool the cupcakes in tins for 15 minutes. Remove from the tins and cool completely on a wire rack before icing.