Answer
$a=\dfrac{13}{18}$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
9(2a-1)=4
$, is
\begin{array}{l}\require{cancel}
9(2a)+9(-1)=4
\\\\
18a-9=4
\\\\
18a=4+9
\\\\
18a=13
\\\\
a=\dfrac{13}{18}
.\end{array}