If the equation of the plane passing through the line of intersection of the planes $2 x-7 y+4 z-3= 0,3 x-5 y+4 z+11=0$ and the point $(-2,1,3)$ is $a x+b y+c z-7=0$, then the value of $2 a+b+c-$ 7 is $\_\_\_\_$
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