Answer
$c=\dfrac{d}{a-b}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
ac-bc=d,
$ for $
c
,$ use the Distributive Property and the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
ac-bc=d
\\\\
c(a-b)=d
.\end{array}
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
c(a-b)=d
\\\\
\dfrac{c(a-b)}{a-b}=\dfrac{d}{a-b}
\\\\
c=\dfrac{d}{a-b}
.\end{array}
