  Normal-state magnetic properties of cuprate high-T_c superconductors are
interpreted based on the self-consistent solution of the t-J model of Cu-O
planes. The solution method retains the rotation symmetry of spin components in
the paramagnetic state and has no preset magnetic ordering. The obtained
solution is homogeneous. The calculated temperature and concentration
dependencies of the magnetic susceptibility are close to those observed in
experiment. These results offer explanations for the observed scaling of the
static uniform susceptibility and for the changes in the spin correlation
length, spin-lattice and spin-echo decay rates in terms of the temperature and
doping variations in the spin excitation spectrum.
