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Mash egg yolks with a fork into a fine crumble. Add mayonnaise, mustard, salt, and pepper to taste— mix until creamy.
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Evenly disperse yolk mixture into egg whites.
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Place 1 whole olive on the top of each deviled egg.
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Slice the remaining olives width-wise, and then once again in half to make spider "legs". You could also purchase pre-sliced olives and cut them in half to make this step easier.
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Place 4 strips of olive on each side of the whole olive to resemble a spider. Enjoy!