Samantha has a ribbon that is 36 inches long. She cuts the ribbon into pieces such that the length of each piece is a fraction of the total length. She cuts one piece that is $\frac{1}{4}$ of the ribbon's length, another piece that is $\frac{1}{3}$ of the ribbon's length, and a third piece that is $\frac{1}{6}$ of the ribbon's length. How many inches of ribbon does Samantha have left after making these cuts? Let's think step by step and output the final answer within \boxed{}.
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