Answer
$q=-2+p+r$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
p-q+r=2
$ for $
q
,$ use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
p-q+r=2
\\\\
-q=2-p-r
\\\\
-1(-q)=-1(2-p-r)
\\\\
q=-2+p+r
.\end{array}