Question

Solve the following equation for dd. Be sure to take into account whether a letter is capitalized or not.

Answer 1

Answer:

$d=\frac{H}{m+6}$

Step-by-step explanation:

The equation given is:

$-6d+H=md$

We take d's to one side and others to another side of the equal sign. Thus,

$-6d+H=md\\H=md+6d$

Note: remembering to change signs when changing sides

Now, we want to isolate d on the RHS:

$H=md+6d\\H=d(m+6)$

To make "d" the subject, we divide both sides by "m+6", to get our answer:

$H=d(m+6)\\\frac{H}{m+6}=\frac{d(m+6)}{m+6}\\d=\frac{H}{m+6}$

This is the answer.