https://file.aiquickdraw.com/mathbot/file/1727312373895nzb5cqtt.jpg

The equation shown in the image is:

\[
2.2 - 5m = 9.8 + 3m
\]

### Step-by-step solution:

1. Move the terms involving \( m \) to one side of the equation. Subtract \( 3m \) from both sides:
   \[
   2.2 - 5m - 3m = 9.8
   \]
   This simplifies to:
   \[
   2.2 - 8m = 9.8
   \]

2. Now, isolate \( m \) by moving the constant term (2.2) to the other side. Subtract \( 2.2 \) from both sides:
   \[
   -8m = 9.8 - 2.2
   \]
   Simplifying the right-hand side:
   \[
   -8m = 7.6
   \]

3. Finally, solve for \( m \) by dividing both sides by \( -8 \):
   \[
   m = \frac{7.6}{-8} = -0.95
   \]

### Final answer:
\[
m = -0.95
\]

Would you like more details or have any questions?

Here are 5 related questions to help expand your understanding:

1. What happens if you had to solve for \( m \) if it were on both sides but with different coefficients?
2. How would you approach solving equations with fractions instead of decimals?
3. Can you express \( -0.95 \) as a fraction? How?
4. How does solving an equation change when there is no variable on one side?
5. What strategies can help simplify solving multi-step equations like this one?

**Tip**: Always combine like terms (constants and variables) as the first step when solving linear equations!

Learn how to solve the linear equation 2.2 - 5m = 9.8 + 3m with a step-by-step solution. This problem demonstrates how to combine like terms and isolate the variable. Suitable for students in Grades 7-9.

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