Nasty Triangles 4

Geometry Level 1

In the diagram above, line \(l\) passes through the centroid of \(\triangle ABC.\)

If the perpendicular distance between \(A\) and line \(l\) is 2, and the perpendicular distance between \(B\) and line \(l\) is 6, then what is the perpendicular distance between \(C\) and line \(l?\)

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