Reflecting A Point Through A Plane

Geometry Level 4

If the point Q=(a,b,c)Q=(a, b, c) is the reflection of the point P=(6,2,3)P=(-6, 2, 3) about the plane 3x4y+5z9=0,3x-4y+5z-9=0, determine the value of a+b+c.a+b+c.

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