Answer:
[tex]d=4[/tex]
Step-by-step explanation:
[tex]41=12d-7[/tex]
In this scenario we need to isolate the variable.
Start by adding 7 to both sides:
[tex]41+7=12d-7+7[/tex]
[tex]48=12d[/tex]
Divide both sides by 12:
[tex]\frac{48}{12}=\frac{12d}{12}[/tex]
[tex]d=4[/tex]
Substitute 4 for d to check our answer:
[tex]41=12d-7\\41=12(4)-7\\41=48-7\\41=41\rightarrow\text{correct!}[/tex]
Therefore the answer is:
[tex]d=4[/tex]
