https://file.aiquickdraw.com/mathbot/file/17265184250136nwy1hcw.jpg

The given equation is:

\[
-2|m| - 5 = -19
\]

### Step 1: Isolate the absolute value term.

Start by adding 5 to both sides:

\[
-2|m| = -19 + 5
\]
\[
-2|m| = -14
\]

### Step 2: Divide by -2.

Now divide both sides of the equation by -2 to isolate the absolute value:

\[
|m| = \frac{-14}{-2}
\]
\[
|m| = 7
\]

### Step 3: Solve for \( m \).

Since we have \( |m| = 7 \), the solutions for \( m \) are:

\[
m = 7 \quad \text{or} \quad m = -7
\]

### Final Answer:
\[
m = 7 \quad \text{or} \quad m = -7
\]

Would you like further details on the steps? Here are 5 related questions:

1. How do absolute value equations affect the possible solutions?
2. What are other examples of equations involving absolute values?
3. How would the equation change if there was no negative sign in front of the absolute value?
4. Can this method be used to solve equations with more complex absolute values?
5. How would you graph the solutions for this equation?

**Tip**: When solving absolute value equations, always consider both the positive and negative solutions for the expression inside the absolute value.

Learn how to solve the absolute value equation -2|m| - 5 = -19 with a step-by-step solution. This problem covers algebraic concepts related to absolute values and their properties, suitable for students in Grades 7-9.

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