Let's solve the equation step by step:

Given:
\[
-3(6m + 2) - 4m = -138
\]

### Step 1: Distribute the \(-3\) across \((6m + 2)\):
\[
-3 \times 6m = -18m
\]
\[
-3 \times 2 = -6
\]
This gives:
\[
-18m - 6 - 4m = -138
\]

### Step 2: Combine like terms:
\[
-18m - 4m = -22m
\]
So the equation becomes:
\[
-22m - 6 = -138
\]

### Step 3: Add 6 to both sides:
\[
-22m = -138 + 6
\]
\[
-22m = -132
\]

### Step 4: Divide both sides by \(-22\):
\[
m = \frac{-132}{-22}
\]
\[
m = 6
\]

### Final Answer:
\[
m = 6
\]

Let me know if you want more details on any step! Here are some related questions you might find helpful:

1. How do you distribute negative numbers across parentheses?
2. Why do we combine like terms in algebraic equations?
3. What are the steps to isolating a variable?
4. How do you handle negative coefficients when solving equations?
5. Can we solve equations with fractions in a similar way?

**Tip:** Always check your final answer by plugging it back into the original equation!

Learn how to solve the linear equation -3(6m + 2) - 4m = -138 using distributive property and combining like terms. This step-by-step solution walks through key algebraic techniques, suitable for students in Grades 7-9.

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