Respuesta :

We have the following equation

[tex]\frac{1}{4}\cdot(28d+20)=d+11[/tex]

Steps

1. Expand

[tex]\begin{gathered} \frac{1}{4}\cdot28d+\frac{1}{4}\cdot20=d+11 \\ 7d+5=d+11 \end{gathered}[/tex]

2. substract 5 from both sides

[tex]7d+5-5=d+11-5[/tex]

3. simplify

[tex]7d=d+6[/tex]

4. substract d from both sides

[tex]7d-d=d+6-d[/tex]

5. simplify

[tex]6d=6[/tex]

6. divide by 6 and simplify

[tex]\begin{gathered} \frac{6d}{6}=\frac{6}{6} \\ d=1 \end{gathered}[/tex]

Thus, we can see that d = 1