Step 1:
[tex]\text{Thickness of stud = 3}\frac{1}{2}\text{ inches}[/tex]Step 2:
Next, find the total thickness by adding all.
[tex]\begin{gathered} =\text{ 3}\frac{1}{2}\text{ + }\frac{3}{8}\text{ + }\frac{3}{8} \\ =\text{ }\frac{7}{2}\text{ + }\frac{3}{8}\text{ + }\frac{3}{8} \\ =\text{ }\frac{28\text{ + 3 + 3}}{8} \\ =\text{ }\frac{34}{8} \\ =\text{ 4}\frac{1}{4\text{ }}\text{ inches} \end{gathered}[/tex]Step 3
Total thickness in the resulting wall
[tex]=\text{ 4}\frac{1}{4}\text{ Inches}[/tex]