Answer
At constant, P, $\Delta$E$_{sys}$ = q + w = q$_{p}$ + w = $\Delta$H + w.
This means that $\Delta$E$_{sys}$ - w = $\Delta$H = q.
Work Step by Step
At constant, P, $\Delta$E$_{sys}$ = q + w = q$_{p}$ + w = $\Delta$H + w.
This means that $\Delta$E$_{sys}$ - w = $\Delta$H = q.