Answer:
[tex]c=\frac{a}{h}-b[/tex]Explanation:
Given the equation:
[tex]a=h(b+c)[/tex]we want to make c the subject of formula;
let us divide both sides by h;
[tex]\begin{gathered} \frac{a}{h}=\frac{h(b+c)}{h} \\ \frac{a}{h}=b+c \end{gathered}[/tex]Then let us subtract b from both sides;
[tex]\begin{gathered} \frac{a}{h}-b=b-b+c \\ \frac{a}{h}-b=c \\ c=\frac{a}{h}-b \end{gathered}[/tex]Therefore, making c the subject of formula we have;
[tex]c=\frac{a}{h}-b[/tex]