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Peel and partially-core the apples (use a melon baller or paring knife to scoop 2/3 of the core, past the seeds, but not far enough that you've put a hole all the way through the apple).
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Combine half the sugar (4 tsps), butter and brown sugar in a mini food processor or by hand. If by hand, you'll want to cut the butter up into tiny pieces first so it mixes well.
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Put 1/4 of topping mixture into the hollowed-out core of each apple until it's full. Sprinkle another 1 tsp over the top of each apple.
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fill a glass baking dish with 1/2 inch of water.
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bake in 350 degree oven for 45-60 minutes, until apples are soft.
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remove and serve. I like to cut mine into fourths and let the filling ooze onto the plate. ice cream optional :).