#### Answer

$n\gt33$

#### Work Step by Step

Using the distributive property and properties of inequalities, the solution to the given inequality, $
-4(n-2)-(n-1)\lt-4(n+6)
,$ is
\begin{array}{l}\require{cancel}
-4n+8-n+1\lt-4n-24
\\\\
-4n-n+4n\lt-24-8-1
\\\\
-n\lt-33
\\\\
n\gt33
.\end{array}