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Let's solve the equation step-by-step.

The equation is:
\[
\frac{-3m}{2} - 4 = -10
\]

### Step 1: Isolate the term with \( m \)
Add 4 to both sides:
\[
\frac{-3m}{2} = -10 + 4
\]
\[
\frac{-3m}{2} = -6
\]

### Step 2: Clear the fraction by multiplying both sides by 2
\[
-3m = -6 \times 2
\]
\[
-3m = -12
\]

### Step 3: Solve for \( m \) by dividing both sides by -3
\[
m = \frac{-12}{-3}
\]
\[
m = 4
\]

### Answer
\[
m = 4
\]

Would you like further details or have any questions?

Here are five related questions:
1. How would the steps change if the equation were \(\frac{-3m}{2} - 4 = -12\)?
2. How can you verify the solution by substituting \( m = 4 \) back into the original equation?
3. What if the coefficient of \( m \) were positive? How would that change the steps?
4. How can you solve for \( m \) if the fraction had been \(\frac{-5m}{3}\) instead?
5. What other methods could solve equations involving fractions?

**Tip:** When solving equations with fractions, try clearing fractions by multiplying both sides by the denominator. This simplifies calculations.

Solve the equation. Simplify your answer if possible.

\[ \frac{-3m}{2} - 4 = -10 \]

Learn how to solve the linear equation \( \frac{-3m}{2} - 4 = -10 \) step-by-step. This problem covers key algebraic concepts, including isolating variables and clearing fractions. Ideal for students in Grades 7-8.

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