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We investigate the level structure and E2,M1 electromagnetic transition properties in an even-even 96Mo nucleus within the framework of the proton-neutron interacting boson model (IBM-2).The calculated results of the IBM-2 can reproduce the recent new experimental data on 96Mo both qualitatively and quantitatively.It is found that both shape coexistence and mixed-symmetry states in 96Mo can be simultaneously described very well with the IBM-2 by taking into account that the relative energy of d neutron bosons is different from that of proton bosons.