https://file.aiquickdraw.com/mathbot/file/1726681622373nu7o1bai.jpg

Let's walk through solving the equation step by step based on the structure shown in the image:

The given equation is:

\[
-34 = 6m - 4
\]

### Step 1: Eliminate the constant on the right-hand side by adding \( 4 \) to both sides of the equation.

\[
-34 + 4 = 6m - 4 + 4
\]

This simplifies to:

\[
-30 = 6m
\]

### Step 2: Solve for \( m \) by dividing both sides by 6.

\[
m = \frac{-30}{6}
\]

Simplifying the division:

\[
m = -5
\]

### Filling in the blanks from the image:

1. **First, you**: Add \( 4 \) to both sides.
2. **Simplify and you get**: \( -30 = 6m \)
3. **Next, you divide by**: \( 6 \) on both sides.
4. **Final answer**: \( m = -5 \)

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Would you like more details or clarification on any part of this solution?

Here are 5 related questions to practice:
1. How would you solve \( 5m - 10 = 20 \)?
2. Can you solve \( 3m + 6 = 15 \) by isolating \( m \)?
3. What happens if you divide both sides by a negative number?
4. How would you approach solving \( -2m + 3 = 7 \)?
5. What does it mean to check your solution in the original equation?

**Tip**: Always remember to perform the same operation on both sides of the equation to keep it balanced!

Learn how to solve the linear equation -34 = 6m - 4 with a step-by-step guide. This problem involves applying basic algebraic operations like addition and division, suitable for students in grades 6 to 8.

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