Respuesta :

18 = 3/4d + 6

First, we can start out by making our goal to get the variable (d) by itself on one side. Let's begin by simplifying the fraction and the variable with each other.
[tex]18 = \frac{3d}{4}[/tex]

Second, we can now start our journey to get the variable by itself. Subtract 6 from each side.
[tex]18 - 6 = \frac{3d}{4} [/tex]

Third, let's subtract 18 - 6 to get 12.
[tex]12 = \frac{3d}{4} [/tex]

Fourth, let's continue by multiplying both sides by 4. 
[tex]12 \times 4 = 3d[/tex]

Fifth, we can now multiply 12 times 4 to get 48. This can be done by using a calculator, etc.
[tex]48 = 3d[/tex]

Sixth, we can divide each side by 3. We officially got the variable (d) by itself, so our goal is completed and all we need to do is simplify our fraction we just got.
[tex] \frac{48}{3} = d[/tex]

Seventh, our last step is to simplify our fraction. In simpler words, what multiples with 3 to equal 48? (3 times 16 = 48), so 48 is our answer. We can also switch sides.
[tex]d = 16[/tex] 

Answer: [tex]\fbox {d = 16} [/tex]