Aria has a collection of beads. She uses \(\frac{2}{3}\) of the beads to make necklaces and then uses \(\frac{1}{4}\) of the remaining beads to make bracelets. If she started with 96 beads, how many beads does she have left after making the necklaces and bracelets? Let's think step by step and output the final answer within \boxed{}.
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