Determine the value of 's': $9=2 s+1$

Step 1 ：Subtract 1 from both sides: \(9 - 1 = 2s + 1 - 1\)

Step 2 ：Simplify: \(8 = 2s\)

Step 3 ：Divide both sides by 2: \(\frac{8}{2} = \frac{2s}{2}\)

Step 4 ：Simplify: \(4 = s\)

Step 5 ：\(\boxed{4}\)