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In a large bowl, cream together the butter, peanut butter, and brown sugar until creamy, using an electric mixer at medium speed.
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Add the eggs and vanilla; blend until smooth.
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Combine the flour, cocoa powder, and baking powder; gradually add to the butter mixture on low speed until well mixed.
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Cover bowl; refrigerate dough at least 4 hours, or until firm.
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Preheat oven to 350*F.
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Roll out 1/2 the dough at a time on a lightly floured surface to 1/4" thickness.
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(Keep remaining dough chilled.) Cut out circles with a 4" round cookie cutter; cut each circle into quarters.
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Space cookies 2" apart on ungreased cookie sheets; bake for 10-12 minutes, or until set.
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Transfer cookies to wire racks and cool completely.
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Melt the chocolate chips and shortening together in a saucepan over low heat, stirring occasionally, until smooth; remove pan from heat.
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Dip the rounded edge of each cookie into the chocolate, then into the peanuts.
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Place on waxed paper until set, about 30 minutes.