To solve the equation \(-\frac{1}{3}m + 1 = -7\), follow these steps:

1. **Isolate the term with \(m\)**:
   \[
   -\frac{1}{3}m = -7 - 1
   \]
   \[
   -\frac{1}{3}m = -8
   \]

2. **Multiply both sides by -3 to solve for \(m\)**:
   \[
   m = -8 \times -3
   \]
   \[
   m = 24
   \]

So, the solution is \(m = 24\).

Would you like more details or have any questions? Here are some related questions you might consider:

1. How do you check if the solution is correct?
2. What would happen if the equation was \(-\frac{1}{3}m + 1 = 7\)?
3. Can you explain how to solve equations with fractions in general?
4. What are the steps to graph the equation?
5. How do you handle equations with variables on both sides? 

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Discover how to solve the linear equation -1/3m + 1 = -7 with a comprehensive step-by-step solution. This guide covers fundamental algebraic concepts such as isolating variables and solving equations involving fractions, ideal for students in Grades 6-8.

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