Answer
$a=6$
Work Step by Step
$$\begin{align*}
\frac{a}{3}+4-4&=6-4 &\text{Subtract 4 from each side.}\\
\frac{a}{3}&=2 &\text{Simplify.}\\
3 \cdot \frac{a}{3}&=3\cdot 2 &\text{Multiply 3 to both sides.}\\
a&=6 &\text{Simplify.}
\end{align*}$$
Check the answer by substituting $6$ to the variable in the given equation.
$$\begin{align*}
\frac{a}{3}+4&=6\\
\frac{6}{3}+4&\stackrel{?}{=}6\\
6&\stackrel{\checkmark}{=}6
\end{align*}$$
Thus, the solution is $a=6$.