Answer
$n=-4$.
Work Step by Step
The given equation is
$\Rightarrow 3n-3=4n+1$
Subtract $1$ from each side.
$\Rightarrow 3n-3-1=4n+1-1$
Simplify.
$\Rightarrow 3n-4=4n$
Subtract $3n$ from each side.
$\Rightarrow 3n-4-3n=4n-3n$
Simplify.
$\Rightarrow -4=n$
Check:-
$\Rightarrow 3(-4)-3=4(-4)+1$
$\Rightarrow -12-3=-16+1$
$\Rightarrow -15=-15$
True.
Hence, the solution is $n=-4$.
