For this case we have the following equation:
[tex]a (c - b) = d[/tex]
We want to solve the equation for the letter c.
To do this, we apply the distributive property:
[tex]ac-ab = d[/tex]
Then, applying addition property of equality we have:
[tex]ac = d + ab[/tex]
Then applying division property of equality we have:
[tex]c = \frac {d + ab} {a}[/tex]
Answer:
The value of c is:
[tex]c = \frac {d + ab} {a}[/tex]