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If the sphere x12 + x22 + (n + 1)x32 − 2x1 − nx2 + 2x3...

If the sphere x12 + x22 + (n + 1)x32 − 2x1 − nx2 + 2x3 + m = 0 is tangent to the plane 6x1 − 3x2 + 2x3 + 3 = 0, then find m.

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