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In a small pan, combine vinegar, sugar, water and salt; cook over medium heat, stirring, until liquid boils and sugar is dissolved.
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Remove from heat and let cool to room temperature.
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Peel or score cucumber, if desired and cut lengthwise into quarters; then cut quarters crosswise into 1/8-inch-thick slices.
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Place in a serving bowl, pour marinade over cucumbers; stir to blend.
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If made ahead, cover and refrigerate for up to 2 hours.
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Top with peanuts before serving.