Bring a large pot of water to a boil.
Place the chicken on a microwave-safe plate and cover with a paper towel. Microwave at HIGH for 2 minutes or until heated through.
Add soba noodles to boiling water and cook for 5 minutes; drain well.
Whisk together the next 4 ingredients (through mustard). Add the chicken, carrots, and scallions to the sauce mixture.
Toss the hoisin-chicken mixture with the noodles until well coated. Divide noodles and chicken among 4 plates; sprinkle peanuts on top.
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