Let $g(x)$ e a function piecewise defined as
\[g(x) = \left\{
\begin{array}{cl}
-x & x\le 0, \\
2x-41 & x>0.
\end{array}
\right.\]
If $a$ is negative, find $a$ so that $g(g(g(10.5)))=g(g(g(a)))$.
a = -30.5
I don't really want to give a explanation for this one though.
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