The Erdos-Ginzburg-Ziv (EGZ) Theorem has an elegant proof due to Bailey and Richter that employs a 1935 result of Chevalley. Chevalley’s Theorem states that the number of shared zeros of a polynomial system over a finite field is not equal to one whenever the number of variables exceeds the sum of the degrees of the polynomials. In the same year, Warning generalized Chevalley’s Theorem and gave a lower bound on the number of shared zeros in such a system so long as one exists. We discuss our generalization of Warning’s Theorem and show how we can quantitatively refine existence theorems, such as EGZ, and simultaneously include the inhomogeneous case. Specifically, we show how one can apply our theorem to recover a 2012 result of Das Adhikari, Grynkiewicz and Sun that treats an analogue of the EGZ Theorem, one in which one considers the EGZ-problem for generalized zero-sum subsequences in any finite commutative p-group. Joint work with Pete L. Clark and Aden Forrow.