Answer
$7z^{3}-2z^{2}-16$
Work Step by Step
$(8z^{3}-3z^{2}-7)-(z^{3}-z^{2}+9)=$
...distribute (remove parentheses)
$=8z^{3}-3z^{2}-7-z^{3}+z^{2}-9$
...gather like terms
$=7z^{3}-2z^{2}-16$
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