Answer
$w=4$
Work Step by Step
$$\begin{align*}
3w+7-7&=19-7 &\text{Subtract 7 from each side.}\\
3w&=12 &\text{Simplify.}\\
\frac{3w}{3}&=\frac{12}{3} &\text{Divide 3 to both sides.}\\
w&=4 &\text{Simplify.}\\
\end{align*}$$
Check the answer by substituting $4$ to the variable in the given equation.
$$\begin{align*}
3w+7&=19\\
3(4)+7&\stackrel{?}{=}19\\
12+7&\stackrel{?}{=}19\\
19&\stackrel{\checkmark}{=}19
\end{align*}$$
Thus, the solution is $w=4$.
