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If a bug walks on the sphere x^2 + y^2 + z^2 4x + 4y + 4z + 3 = 0 how close and how

If a bug walks on the sphere

x^2 + y^2 + z^2 4x + 4y + 4z + 3 = 0

how close and how far can it get from the point P(1, 1, 1)?

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