Answer
$-2z^4-6z^2+3z$
Work Step by Step
The given expression simplifies to
\begin{array}{l}
(5z^4-6z^2+z+1)-(7z^4-2z+1)
\\=
5z^4-6z^2+z+1-7z^4+2z-1
\\=
(5z^4-7z^4)-6z^2+(z+2z)+(1-1)
\\=
-2z^4-6z^2+3z
.\end{array}
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