Respuesta :

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.