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We reconstruct the decays B -> K() mu+ mu- and measure their angular distributions in ppbar collisions at sqrt{s}=1.96TeV using a data sample corresponding to an integrated luminosity of 6.8fb-1. The transverse polarization asymmetry AT(2) and the time-reversal-odd charge-and-parity asymmetry Aim are measured for the first time, together with the K longitudinal polarization fraction FL and the muon forward-backward asymmetry AFB, for the decays B0 -> K0 mu+ mu- and B+ -> K+ mu+ mu-. Our results are among the most accurate to date and consistent with those from other experiments.

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