The reaction A+B⇌ C+D+heat has reached equilibrium. The reaction will move in the forward direction by:
Exothermic reaction is favoured by low temperature to proceed in forward direction. Also, removing heat from a system need not always change its temperature! Be careful about this. Heat and temperature are not the same thing. Equilibrium constant changes when the temperature changes.
We choose to equate them just to get a understanding of how temperature affects equilibrium constnant - which is a hypothetical idea.