Let \( L \) be the line \( \frac{x+1}{2} = \frac{y+1}{3} = \frac{z+3}{6} \) and let \( S \) be the set of all points \( (a, b, c) \) on \( L \), whose distance from the line \( \frac{x+1}{2} = \frac{y+1}{3} = \frac{z-9}{0} \) along the line \( L \) is \( 7 \). Then \( \sum_{(a,b,c)\in S} (a + b + c) \) is equal to:
