Charlene baked some cookies. She kept $\frac{1}{2}$ of the cookies plus $$8$$ cookies. She gave the remaining cookies to Emerald. Emerald ate $$\frac{1}{3}$$ of the cookies plus $$4$$ cookies. Then Emerald gave the remaining cookies to Hebe. Hebe ate $$\frac{1}{4}$$ of the cookies and had $$42$$ cookies left. How many cookies did Charlene have at first?~\uline{~~~~~~~~~~}~ 
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