Answer
$w=28$
Work Step by Step
$\begin{align*}
\frac{0.05w}{0.05}&=\frac{1.4}{0.05} &\text{Divide } 0.05 \text{ to both sides of the equation.}\\
w&=28 &\text{Simplify.}
\end{align*}$
Check the solution by substituting $28$ to $w$ in the original equation:
$\begin{align*}
0.05(28)&\stackrel{?}{=}1.4\\
1.4&\stackrel{\checkmark}{=}1.4
\end{align*}$
Thus, the solution is $w=28$.