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{a+b+c=abca+b=ca=2b \large { \begin{cases} a+b+c= abc \\ a+b=c \\ a=2b \\ \end{cases} } ⎩⎪⎪⎨⎪⎪⎧a+b+c=abca+b=ca=2b
Let a,ba,ba,b and ccc be distinct positive integers satisfying the system of equations above. What is the value of abcabcabc?
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