  In this note we provide uniform a priori estimates for solutions to
degenerate complex Hessian equations on compact hermitian manifolds.
  Our approach relies on the corresponding a priori estimates for
Monge-Amp\`ere equations; it provides an extension as well as a short
  alternative proof to results of Dinew-Ko{\l}odziej, Ko{\l}odziej-Nguyen and
Guo-Phong-Tong.
