To solve the equation \(-9z + 2 = 11\), follow these steps:

### Step 1: Subtract 2 from both sides to isolate the term with \(z\).
\[
-9z + 2 - 2 = 11 - 2
\]
\[
-9z = 9
\]

### Step 2: Divide both sides by \(-9\) to solve for \(z\).
\[
z = \frac{9}{-9}
\]
\[
z = -1
\]

### Final Answer:
\[
z = -1
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the general process for solving linear equations?
2. How do you handle equations with variables on both sides?
3. What happens when there are no solutions to a linear equation?
4. Can you graph the equation to visualize the solution?
5. How can we verify the solution of a linear equation?

**Tip:** Always check your solution by substituting the value of the variable back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation -9z + 2 = 11 with a detailed step-by-step solution. This problem covers key algebra concepts, including isolating variables and solving for z. Suitable for students in Grades 6-8.

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