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For the piecewise function, find the values $h(-5), h(-4), h(4)$, and $h(7)$.$\newline$$$h(x)=\left\{\begin{array}{ll} -3 x-9, & \text { for } x<-5 \\ 4, & \text { for }-5 \leq x<4 \\ x+8, & \text { for } x \geq 4 \end{array}\right.$$$\newline$$h(-5)=$ $\square$ (Simplify your answer.)$\newline$$h(-4)=$ $\square$ (Simplify your answer.)$\newline$$h(4)=$ $\square$ (Simplify your answer.)$\newline$$h(7)=$ $\square$ (Simplify your answer.)