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Yes, deltaS(total)=deltaS(system)+deltaS(surroundings). We also talked about how deltaS(surroundings)= -Hsys/T. This is helpful because it tells us an exothermic reaction is usually spontaneous because of the increase in total entropy. The two negatives will cancel, and deltaS(surroundings) will be a positive value, which increases the total entropy and makes the reaction more spontaneous.
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