The point of intersection \( C \) of the plane \( 8x + y + 2z = 0 \) and the line joining the points \( A(-3, -6, 1) \) and \( B(2, 4, -3) \) divides the line segment \( AB \) internally in the ratio \( k : 1 \). If \( a, b, c \) ( \( |a|, |b|, |c| \) are coprime) are the direction ratios of the perpendicular from the point \( C \) on the line \( \frac{1 - x}{1} = \frac{y + 4}{2} = \frac{z + 2}{3} \), then \( |a + b + c| \) is equal to ______.
