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what is the multiplicity of the methylene hydrogens indicatedi nthe proton nmr of the following compound

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The multiplicity of the methylene hydrogens indicated in the proton NMR of the given compound is triplet. This is because the methylene hydrogens are equivalent and the NMR will show a triplet peak due to their similar chemical environment. The peak will be split into three lines by the coupling of the adjacent protons.
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