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What is the smallest ring that contains all solutions to linear integer equations, given that?

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What is the smallest ring that contains all solutions to linear integer equations<br><img src='https://www.fatskills.com/images2/GradExams/41D10A97-AAAD-4ABC-B1D9-3C483F69E108.png' height='16' width='89'/>, given that<br><img src='https://www.fatskills.com/images2/GradExams/B6AD3B36-B58D-479C-8D0E-A6B258067E80.png' height='20' width='46'/>?





 
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