Answer
$w=-7$
Work Step by Step
$\begin{align*}
w+3-3&=-4-3 &\text{Subtract 3 from each side of the equation.}\\
w&=-7 &\text{Simplify}.
\end{align*}$
Check if the solution is correct by substituting $-7$ to the variable in the original equation:
$\begin{align*}
w+3&=-4\\
-7+3&\stackrel{?}{=}-4\\
-4&\stackrel{\checkmark}{=}-4
\end{align*}$
Thus, the solution is $w=-7$.