Answer:
The simplified form in terms of c is [tex]c=b-\frac{d}{a}[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]a(b-c)=d[/tex]
Divide both sides by a.
[tex]\frac{a(b-c)}{a}=\frac{d}{a}[/tex]
[tex]b-c=\frac{d}{a}[/tex]
Subtract b from both sides.
[tex]b-b-c=\frac{d}{a}-b[/tex]
[tex]-c=\frac{d}{a}-b[/tex]
This can be written as:
[tex]c=-\frac{d}{a}+b[/tex] or [tex]c=b-\frac{d}{a}[/tex]
Hence the simplified form in terms of c is [tex]c=b-\frac{d}{a}[/tex]
