Find the equation of the line passing through the point $\text{P}\left(4,6,2\right)$and the point of intersection of the line $\frac{\text{x}-1}{3}=\frac{\text{y}}{2}=\frac{\text{z}+1}{7}$and the plane $\text{x}+\text{y}-\text{z}=8.$

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