Step-by-step explanation:
The distributive property is as follows :
[tex]a(b+c)=ab+ac[/tex] ....(1)
We need to solve [tex]24(\dfrac{d}{4}-5)=156[/tex] using distributive property
Applying property (1) on the LHS of given equation
Taking a = 24, b = d/4 and c = -5
So,
[tex]24(\dfrac{d}{4}+(-5))=156\\\\24\times \dfrac{d}{4}+24\times (-5)=156\\\\6d-120=156\\\\6d=156+120\\\\6d=276\\\\d=\dfrac{276}{6}\\\\d=46[/tex]
So, we get the value of d as 6 using distributive property.
