How do we find 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 follow these steps:

1. Isolate the variable r: Start by getting all terms involving r on one side of the equation and constant terms on the other side.

2. Add 8 to both sides:

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

   This simplifies to:

   4r = 5r - 4

3. Now, subtract 5r from both sides:

4r - 5r = -4

This gives us:

-r = -4

4. Finally, multiply by -1 to solve for r:

r = 4