A plane passes through the points $(-5,0,0),$ $(0,2,0),$ and $(0,0,-7).$  Find the distance from the origin to this plane.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A plane passes through the points $(-5,0,0),$ $(0,2,0),$ and $(0,0,-7).$  Find the distance from the origin to this plane.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{70}{39}
A plane passes through the points $(-5,0,0),$ $(0,2,0),$ and $(0,0,-7).$  Find the distance from the origin to this plane.
train