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Boil eggs, cool, and peel.
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Cut eggs in half lengthwise, remove yolks, and reserve whites.
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Mash 6 yolks until about the texture of cornmeal. (Discard remaining 6 yolks or use in another recipe).
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Combine yolks, mayo, Worcestershire sauce, mustard, and vinegar mix until smooth. Mix in mash potatoes.
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Slowly add more vinegar until tart and moist enough (about 1/2 to 1 teaspoon more). If it gets tart enough but is not moist enough add a bit more mayonnaise. If it is tart enough but does not have enough flavor add more mustard and or Worcestershire sauce.
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Add food coloring one drop at a time mixing between drops until desired color is reached.
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Spoon mixture into center of egg whites.
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Sprinkle tops with paprika. Chill and serve cold.