If S={a∈R:|2a-1|=3[a]+2{a}∣, where [t] denotes the greatest integer less than or equal to t....

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If S={a∈R:|2a-1|=3[a]+2{a}∣, where [t] denotes the greatest integer less than or equal to t and {t} represents the fractional part of t, then 72∑a∈Sa is equal to __________ .
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