Answer
$n=-9$.
Work Step by Step
The given equation is
$\Rightarrow -8-5n=64+3n$
Subtract $3n$ from both sides.
$\Rightarrow -8-5n-3n=64+3n-3n$
Simplify.
$\Rightarrow -8-8n=64$
Add $8$ to both sides.
$\Rightarrow -8-8n+8=64+8$
Simplify.
$\Rightarrow -8n=72$
Divide both sides by $-8$.
$\Rightarrow \frac{-8n}{-8}=\frac{72}{-8}$
Simplify.
$\Rightarrow n=-9$.
Check :-
$\Rightarrow -8-5(-9)=64+3(-9)$
$\Rightarrow -8+45=64-27$
$\Rightarrow 37=37$
True.
Hence, the solution is $n=-9$.
