Let h(x)=f(g(x))h(x) = f(g(x))h(x)=f(g(x)). Given g(2)=3g(2)=3g(2)=3, g′(2)=4g'(2)=4g′(2)=4, f(3)=1f(3)=1f(3)=1, and f′(3)=5f'(3)=5f′(3)=5, find the slope of the normal line to h(x)h(x)h(x) at x=2x=2x=2.
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