Solve for d. k = 5(d - 6)
\(5(d-6)=k\ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\5d-30=k\ \ \ |add\ 30\ to\ both\ sides\\\\5d=k+30\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{d=\frac{k+30}{5}}\)
\(k = 5(d - 6)\) \(\text{Equation}\)
\(\dfrac{k}{5}=d-6\) \(\text{Divide both sides by 5}\)
\(\dfrac{k}{5}+6=d\) \(\text{Add 6 to both sides}\)
\(d= \dfrac{k}{5}+6\)
\(d= \dfrac{k+30}{5}\) \(\text{Multiply the denominator by the whole number}\)
\(\fbox{Hence Solved}\)