We report an inelastic neutron scattering study of magnetic excitations in a quantum paramagnet driven into a magnetically ordered state by chemical substitution, namely Ni(Cl1−xBrx)2·4SC(NH2)2 with x = 0.21(2). The measured spectrum is well accounted for by the generalized spin wave theory (GSWT) approach [M. Matsumoto and M. Koga, J. Phys. Soc. Jap. 76, 073709 (2007)]. This analysis allows us to determine the effective Hamiltonian parameters for a direct comparison with those in the previously studied parent compound and "underdoped" system. The issue of magnon lifetimes due to structural disorder is also addressed. * povarovk@phys.ethz.ch †