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1
Preheat the oven to 350 degrees F.
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2
Generously butter a 9-inch glass pie dish and arrange the apples in the dish, cut side down.
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3
Combine 1 cup of the granulated sugar and 1/3 cup water in a small saucepan and cook over high heat until it turns a warm amber color, about 360 degrees F on a candy thermometer.
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4
Swirl the pan but don't stir.
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5
Pour evenly over the apple slices.
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6
Meanwhile, cream the 6 tablespoons of butter and the remaining 3/4 cup of granulated sugar in the bowl of an electric mixer fitted with the paddle attachment, until light and fluffy.
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7
Lower the speed and beat in the eggs 1 at a time.
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8
Add the sour cream, zest, and vanilla and mix until combined.
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9
Sift together the flour, baking powder, and salt and, with the mixer on low speed, add it to the butter mixture.
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10
Mix only until combined.
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11
Pour the cake batter evenly over the apple slices and bake for 30 to 40 minutes, until a cake tester comes out clean.
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12
Cool for 15 minutes, then invert the cake onto a flat plate.
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13
If an apple slice sticks, ease it out and replace it in the design on top of the cake.
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14
Serve warm or at room temperature, dusted with confectioners' sugar.