https://file.aiquickdraw.com/mathbot/file/17268007951749olnaae7.jpg

The equation in the image is:

\[
6.45(m + 3) = 15m + 12
\]

Let's solve it step by step:

1. **Distribute** \( 6.45 \) on the left-hand side:
   \[
   6.45m + 6.45 \times 3 = 15m + 12
   \]
   \[
   6.45m + 19.35 = 15m + 12
   \]

2. **Move all terms involving \( m \) to one side** and constants to the other side. Subtract \( 6.45m \) from both sides:
   \[
   19.35 = 15m - 6.45m + 12
   \]
   \[
   19.35 = 8.55m + 12
   \]

3. **Subtract 12 from both sides** to isolate the \( m \)-term:
   \[
   19.35 - 12 = 8.55m
   \]
   \[
   7.35 = 8.55m
   \]

4. **Solve for \( m \)** by dividing both sides by \( 8.55 \):
   \[
   m = \frac{7.35}{8.55}
   \]
   \[
   m \approx 0.86
   \]

So, the solution is \( m \approx 0.86 \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you solve linear equations with decimals?
2. What happens if there are multiple variables in an equation?
3. Can you solve an equation involving fractions instead of decimals?
4. What is the difference between solving for a variable and simplifying an expression?
5. How do you check if a solution to an equation is correct?

**Tip:** Always isolate the variable step by step to avoid errors when solving equations.

Learn how to solve the linear equation 6.45(m + 3) = 15m + 12 with a step-by-step explanation. This problem involves the distributive property and isolating the variable to find the solution m ≈ 0.86. Suitable for students in Grades 8-10.

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