Answer
$n=-10$
Work Step by Step
$\begin{align*}
n+3-3&=-7-3 &\text{Subtract 3 from each side of the equation.}\\
n&=-10 &\text{Simplify.}
\end{align*}$
Thus, the solution is $n=-10$.
Check the solution by substituting $-10$ to $n$ in the original equation:
$\begin{align*}
n+3&\stackrel{?}{=}-7\\
-10+3&\stackrel{?}{=}-7\\
-7&\stackrel{\checkmark}{=}-7
\end{align*}$