To solve the equation \(-22 - \frac{x}{9} = -19\), let's isolate \(x\).

### Step-by-step solution:

1. Start by adding 22 to both sides of the equation to eliminate the \(-22\) on the left:
   \[
   -22 + 22 - \frac{x}{9} = -19 + 22
   \]
   Simplifying both sides:
   \[
   -\frac{x}{9} = 3
   \]

2. Now, multiply both sides by \(-9\) to eliminate the fraction:
   \[
   x = 3 \times (-9)
   \]
   Simplifying:
   \[
   x = -27
   \]

Thus, the solution is \(x = -27\).

Would you like more details or explanations on any of the steps?

Here are five related questions you might find interesting:
1. How do you solve equations with multiple fractions?
2. Can we solve this problem graphically instead of algebraically?
3. What is the general process for solving linear equations with variables?
4. How do we check if our solution is correct by substituting back into the original equation?
5. How does changing the coefficient of \(x\) in such equations affect the solution?

**Tip:** Always try to isolate the variable by undoing operations in reverse order (starting with addition or subtraction before multiplication or division).

Learn how to solve the linear equation -22 - x/9 = -19 with a detailed step-by-step solution. This problem involves key algebraic concepts such as isolating variables and applying multiplication and division. Suitable for students in Grades 6-8.

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