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We report predictions for B(s)→e+e−γ and B(s)→μ+μ−γ decays. All the contributions containing long-distance QCD effects are calculated in the framework of relativistic quark model. The contributions of the light vector-meson resonances related to the virtual photon emission from valence quarks of the B-meson are included. The highest branching ratios for the radiative leptonic B-decays are B(B¯0s→e+e−γ)=18.8×10−9 and B(B0s→μ+μ−γ)=12.2×10−9. We also give the distribution of the foward-backward asymmetry.