Solve the equation and check your solution.
\[
9+z=-14
\]

Step 1 ：The given equation is \(9 + z = -14\).

Step 2 ：To solve for \(z\), we need to isolate \(z\) on one side of the equation. We can do this by subtracting 9 from both sides of the equation.

Step 3 ：This gives us \(z = -14 - 9\).

Step 4 ：Solving this, we find that \(z = -23\).

Step 5 ：We can check this solution by substitifying \(z = -23\) into the original equation and verifying that both sides of the equation are equal.

Step 6 ：Substituting \(z = -23\) into the original equation gives us \(9 + (-23) = -14\).

Step 7 ：Solving this, we find that the left side of the equation equals the right side, confirming that \(z = -23\) is the correct solution.

Step 8 ：Final Answer: The solution to the equation is \(\boxed{-23}\).