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The vertex form of a quadratic equation is given by the equation y = a(x-h)^2 + k, where (h,k) represents the coordinates of the vertex.
In the given equation y = 3(x+12) - 7, we can rewrite it as y = 3(x-(-12)) - 7.
Comparing this equation with the vertex form, we can see that h = -12 and k = -7.
Therefore, the vertex of the equation y = 3(x+12) - 7 is (-12, -7).