Word Count : 192

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To find all the units of \( \mathbb{Z}_{12} \), we need to determine which elements in \( \mathbb{Z}_{12} \) have a multiplicative inverse. In other words, we need to find all numbers \( a \) such that there exists an \( x \) for which \( a \cdot _______ ______ _______ _______ ________ ___ ___ _______ _____.
____ _______ ________ ___ ________ ____ ______ ___ _____ ____.
_____ ____ ____ ________ __________ _______ ______.
____ __________ ________ _____ ________ ___ __________ _________.
____ _____ ______ _____ ________.
______ ________ ___ _____ ___ _____ ________ _____ _____.
________ ___ __________ _______ ________ ______ ________ _________ ______ ____ ______ _________.
________ ____ ______ _____ _________ _____ _____ ______ _____ ____ ______ ____.
__________ _______ ________ ______ _________ _____ _____ _____ ________ __________ ________ _____.
____ _________ __________ ______ ___ ____ ______.
________ _________ ____ ____ _____ ________ ____ ______.
__________ ___ ___ ________ _____ ____ ____ _____ ___ ____.
_________ _____ _____ ______ ______ ____ ____ _________ __________ _______ _______ __________.
______ _____ _________ ______ _________ ____ ________ ___ _________ ______.
___ ___ ______ ___ _________ _______ _________ _______ ______.
_________ _________ __________ _______.
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