ΔE = q + w where q = heat and w = work. But the sign of these quantities depends on whether the system is losing (-q) or gaining heat (+q) and whether the system is doing the work (-w) or the surrounding is doing the work ON the system (+w).
In this problem, system performs work, so it is spending (-w) 11.59 kJ and it absorbs 4.41 kJ of heat (+q). Therefore,
ΔE =q + (-w) = 4.41 - 11.59 = -7.18 kJ