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In a large bowl, combine butter, shallots, tomato, caraway seeds, and dill.
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Rinse brussels sprouts well and remove any brown or damaged leaves.
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Cut off the stem ends, then cut each sprout into slices, cutting from top to stem end.
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Add sprouts to tomato mixture and stir well to combine.
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Preheat the oven to 375 degrees.
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Lay out six 12 x 12-inch aluminium foil squares and divide sprout mixture equally among them, making a small mound on half of each square.
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Then fold each square over to cover the mound and crimp all the edges closed.
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Arrange the packets on a baking sheet and bake until sprouts are tender, about 30 minutes.
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Use a kitchen shears to cut the packets open, then serve hot.