Answer:
[tex]d=\frac{H}{m+6}[/tex]
Step-by-step explanation:
The equation given is:
[tex]-6d+H=md[/tex]
We take d's to one side and others to another side of the equal sign. Thus,
[tex]-6d+H=md\\H=md+6d[/tex]
Note: remembering to change signs when changing sides
Now, we want to isolate d on the RHS:
[tex]H=md+6d\\H=d(m+6)[/tex]
To make "d" the subject, we divide both sides by "m+6", to get our answer:
[tex]H=d(m+6)\\\frac{H}{m+6}=\frac{d(m+6)}{m+6}\\d=\frac{H}{m+6}[/tex]
This is the answer.