Given balanced chemical equation for oxidation of phosphorus {III) sulphide by nitric acid. The products include NO and ${\mathrm{SO}}_2$.

$\begin{array}{r}a{\mathrm{P}}_4{\mathrm{S}}_6+44{\mathrm{H}}^{+}+b{\mathrm{NO}}_3^{-}\mathit{ }⟶c\mathrm{NO}+d{\mathrm{H}}_{\mathit{3}}{\mathrm{PO}}_{\mathit{4}}+e{\mathrm{SO}}_{\mathit{2}}+4{\mathrm{H}}_{\mathit{2}}\mathrm{O}\end{array}$

Find the value of (a+ b + c + d + e).