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If a, b, c are non - zero real numbers, ...

If a, b, c are non - zero real numbers, the system of equations
`y+z=a+2x, x+z=b+2y, x+y=c+2z` is consistent and `b=4a+(c )/(4)`, then the sum of the roots of the equation `at^(2)+bt+c=0` is

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