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Q 2686345277.     If the origin is the centroid of the triangle `PQR` with vertices `P(2a, 2, 6)`, and
`Q(-4, 3b, -10)` and `R(8, 14,2c)`, then find values of `a, b`, and `c`.
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)