To find the value of r in the equation 22r + 8 = 3r + 16, we need to first simplify the equation by getting all terms involving r on one side and the constant terms on the other side.
We start by subtracting 3r from both sides:
22r - 3r + 8 = 16
This simplifies to:
19r + 8 = 16
Next, we subtract 8 from both sides to isolate the term with r:
19r = 16 - 8
This simplifies to:
19r = 8
Now, to find r, we divide both sides by 19:
r = 8 / 19
Thus, the value of r is:
r = rac{8}{19}
In conclusion, the solution to the equation is r = 8/19.