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Let $P$ be an arbitrary point having sum of the squares of the distance from the planes $x + y + z = 0$, $lx - nz = 0$ and $x - 2y + z = 0$ equal to 9. If the locus of the point $P$ is $x^2 + y^2 + z^2 = 9$, then the value of $l - n$ is equal to ______.
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