3D plane equation

Geometry Level pending

Let \( \alpha: 3x+by+cz+d=0 \) be a plane that contains the point \( (a, 1, 0) \) on the line \[l:\frac{x-2}{3}=\frac{y+1}{2}=\frac{z-1}{-1} .\] If this line is perpendicular to the plane \(\alpha, \) what is the value of \(b+c+d?\)

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