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If the system of equations x + ay + az...

If the system of equations
`x + ay + az = 0`
`bx + y + bz = 0`
`cx + cy + z = 0`
where a, b and c are non-zero non-unity, has a non-trivial solution, then value of `(a)/(1 -a) + (b)/(1 b) + (c)/(1 -c)` is

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