Solve the equation. \[ \begin{array}{l} \frac{1}{s-9}-3=\frac{7}{s-9} \\ s= \end{array} \]

Step 1 ：The equation is a simple linear equation in the form of fractions. The first step is to simplify the equation by combining the fractions on both sides. Then, isolate the variable 's' to find its value.

Step 2 ：The solution to the equation is \(s = 7\). This means that when \(s = 7\), the equation holds true.

Step 3 ：Final Answer: The solution to the equation is \(\boxed{7}\).