We present a theory of combined nonmagnetic and magnetic impurity scatterin
g in anisotropic superconductors accounting for the momentum-dependent impu
rity potential. Applying the model to the d-wave superconducting state, we
obtain a quantitative agreement with the initial suppression of the critica
l temperature due to Zn and Ni substitutions as well as electron irradiatio
n defects in the cuprates. We suggest that the unequal pair-breaking effect
of Zn and Ni may be related to a different nature of the magnetic moments
induced by these impurities.