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I believe the purpose for that was to manipulate the equation to show how -deltaG/T of the system is equal to deltaS of the universe, which means that in order for a spontaneous process to occur where deltaS is positive, then deltaG must be negative.
Because - delta H / T is the change in entropy of the surroundings (discussed earlier in lecture today) and this makes the equation easier to simplify into something that only has one variable. This way we can define spontaneity of a process in terms of only gibbs free energy.
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