Point in a triangle

Geometry Level 4

\(\color{red}{A(-13,14)}\), \(\color{blue}{B(-3,-5)}\) and \(\color{green}{C(7,11)}\) are the vertices of a triangle. The coordinates of the point \(P\) inside the triangle \(ABC\) such that \(\Delta PBC\) is an equilateral triangle is \((p,q)\).Find \(p+q\)

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