Given:
The equation is
[tex]\dfrac{7}{2}n=3n+4[/tex]
To find:
The properties which is not used from the given options.
Solution:
We have,
[tex]\dfrac{7}{2}n=3n+4[/tex]
Using Multiplication Property of Equality, multiply both sides by 2.
[tex]2(\dfrac{7}{2}n)=2(3n+4)[/tex]
[tex]7n=6n+8[/tex] (Distributive Property)
Using Subtraction Property of Equality, subtract 6n from both sides.
[tex]7n-6n=6n+8-6n[/tex]
[tex]n=8[/tex]
From the given options only one property is not used, i.e., Zero Product Property.
Therefore, the correct option is D.
