Given:
The equation is
[tex]\dfrac{2a-4}{3}=8[/tex]
To find:
The reason for second step.
Solution:
We have,
[tex]\dfrac{2a-4}{3}=8[/tex]
Using multiplication property of equality, multiply both sides by 3.
[tex]3\left(\dfrac{2a-4}{3}\right)=3(8)[/tex]
[tex]2a-4=24[/tex]
Using addition property of equality, add 4 on both sides.
[tex]2a-4+4=24+4[/tex]
[tex]2a=28[/tex]
Using division property of equality, divide both sides by 2.
[tex]\dfrac{2a}{2}=\dfrac{28}{2}[/tex]
[tex]a=14[/tex]
So, the reason for second step is multiplication property (=).
Therefore, the correct option is D.