The Hyped Hyperbola

The graphs of the curves ${ x }^{ 2 }\quad -\quad { y }^{ 2 }\quad +\quad 6x\quad +\quad 16y\quad -\quad 46\quad =\quad 0$ and ${ x }^{ 2 }\quad +\quad { y }^{ 2 }\quad +\quad 6x\quad -\quad 24y\quad +\quad 72\quad =\quad 0$ intersect in four points. Find the sum of the distances of the points from $(-3,2)$ .