To solve the equation \( 9(x + 1) = z \), we can isolate \( x \) as follows:

### Step-by-step solution:

1. **Divide both sides by 9** to get rid of the 9 on the left-hand side:
   \[
   x + 1 = \frac{z}{9}
   \]
   
2. **Subtract 1 from both sides** to isolate \( x \):
   \[
   x = \frac{z}{9} - 1
   \]

Thus, the solution is:
\[
x = \frac{z}{9} - 1
\]

Would you like more details or have any questions on this?

### 5 related questions:
1. What is the value of \( z \) if you want to solve for a specific \( x \)?
2. How would the solution change if the equation was \( 9(x + 2) = z \)?
3. Can you graph the function \( x = \frac{z}{9} - 1 \) for various \( z \) values?
4. What happens if \( z = 0 \) in the equation?
5. How does dividing by 9 affect the equation?

### Tip:
When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation 9(x + 1) = z using basic algebraic steps. This problem involves dividing both sides by 9 and subtracting 1 to isolate x. Suitable for students in Grades 6-8.

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