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let g(x)=x^2-2 , -oo < x <0 and g(x)=x, ...

let `g(x)=x^2-2 , -oo < x <0` and `g(x)=x, 0 <= x <2` and `g(x)=(x-2)^2 , 2 <= x < 4` and `g(x)=x-4 , 4 <= x < oo` If the equation `g(x)=k` has four real and distinct roots, then find the sum of all possible integral values of `k.`

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