Answer
$a=-2$
Work Step by Step
Using the properties of equality, the value of the variable that satisfies the given equation, $
16=-2-9a
,$ is
\begin{array}{l}\require{cancel}
16+2=-9a
\\\\
18=-9a
\\\\
\dfrac{18}{-9}=a
\\\\
-2=a
\\\\
a=-2
.\end{array}