This problem involves using inverse operations to isolate a variable to one side of the equation. In your math class, you were most likely taught the acronym/ mnemonic "Don't Call Me After Midnight" or DCMAM...
D - Distribute
C - Combine like Terms
M - Move the desired variable to one side (this is if our variable is on the left AND right side of the equation)
A - Add/Subtract
M- Multiply/Divide
In this particular problem, we are solving for d. Let's go through DCMAM to solve
D: There are no parentheses and nothing to distribute. No work
C: There are no like terms to combine on either side. No work
M: Our variable d is only on the left side of the equation. No work
A: It looks like everything in this equation is connected by multiplication. No work
M: We can isolate d soley using Multiplication/Division. Let's begin.
(1/3)hd = G
The objective is to have d by itself on the left side of the equation, therefore we must use inverse (opposite) operations to move other values to the right side of the equation. To eliminate h from the left side, divide by h on both sides...
(1/3)d = G/h
To eliminate (1/3) from the left side, we must multiply by it's reciprocal (3/1 or 3). Doing this to both sides....
d= 3G/h
