10. TBQ - Find the coordinate

\(ABCD\) is a rhombus. Its diagonals \(AC\) and \(CD\) intersect at the point \(M\) and satisfy \(BD = 2AC\). If the coordinates of \(D\) and \(M\) are \((4, 4)\) and \((2, -2)\), respectively, compute the coordinates of \(A\).