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Verified Answer :

\(5(d-6)=k\ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\5d-30=k\ \ \ |add\ 30\ to\ both\ sides\\\\5d=k+30\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{d=\frac{k+30}{5}}\)

\(k = 5(d - 6)\)  \(\text{Equation}\) 

\(\dfrac{k}{5}=d-6\)  \(\text{Divide both sides by 5}\) 

\(\dfrac{k}{5}+6=d\)  \(\text{Add 6 to both sides}\) 

\(d= \dfrac{k}{5}+6\) 

\(d= \dfrac{k+30}{5}\)  \(\text{Multiply the denominator by the whole number}\) 

\(\fbox{Hence Solved}\)