What is the value of r in the equation 4r + 8 = 5r – 12?

To find the value of r in the equation 4r + 8 = 5r – 12, we will start by isolating r.

First, let’s move all terms involving r to one side and constant terms to the other side. We can do this by subtracting 4r from both sides:

4r + 8 - 4r = 5r - 12 - 4r

This simplifies to:

8 = r - 12

Next, we need to isolate r. To do this, we’ll add 12 to both sides:

8 + 12 = r - 12 + 12

Now we get:

20 = r

So, the value of r is 20.

To confirm our answer, we can plug r back into the original equation:

4(20) + 8 = 5(20) - 12

This gives us:

80 + 8 = 100 - 12

Which simplifies to:

88 = 88

Since both sides are equal, our solution is verified. Thus, the value of r is indeed 20.