https://file.aiquickdraw.com/mathbot/file/1729599510485mw1nzr85.jpg

The equation provided in the image is:

\[
10 + 8m = -10m - 8
\]

Let's solve for \( m \).

### Step 1: Move the terms involving \( m \) to one side.
Add \( 10m \) to both sides:

\[
10 + 8m + 10m = -10m - 8 + 10m
\]
\[
10 + 18m = -8
\]

### Step 2: Move the constant terms to the other side.
Subtract 10 from both sides:

\[
18m = -8 - 10
\]
\[
18m = -18
\]

### Step 3: Solve for \( m \).
Divide both sides by 18:

\[
m = \frac{-18}{18}
\]
\[
m = -1
\]

Thus, the solution is \( m = -1 \).

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

### Related Questions:
1. How do you solve linear equations with variables on both sides?
2. What are the steps to isolate a variable in an equation?
3. How would this equation change if it were quadratic?
4. How can you check if your solution is correct?
5. What are other methods for solving linear equations?

### Tip:
Always simplify both sides of an equation first before moving terms around to avoid unnecessary errors.

Learn how to solve the linear equation 10 + 8m = -10m - 8 with a detailed step-by-step solution. This problem covers key algebra concepts such as simplifying and isolating the variable. Suitable for students in Grades 6-8.

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