Let's solve the equation:

\[
\frac{-25}{3} = \frac{1}{-3} + 8
\]

### Step 1: Simplify the right-hand side
First, simplify the fraction:

\[
\frac{1}{-3} = -\frac{1}{3}
\]

So the equation becomes:

\[
\frac{-25}{3} = -\frac{1}{3} + 8
\]

### Step 2: Combine the terms on the right-hand side
To combine \(-\frac{1}{3}\) and \(8\), you need to convert \(8\) into a fraction with the same denominator:

\[
8 = \frac{8 \times 3}{3} = \frac{24}{3}
\]

Now, combine the fractions:

\[
-\frac{1}{3} + \frac{24}{3} = \frac{23}{3}
\]

### Step 3: Substitute back into the equation
The equation now is:

\[
\frac{-25}{3} = \frac{23}{3}
\]

### Step 4: Analyze the equality
Since \(\frac{-25}{3}\) is not equal to \(\frac{23}{3}\), the equation is **false**.

There is no solution for this equation because both sides are not equal.

Would you like more details on this, or do you have any questions?

Here are some related questions you might find interesting:
1. What happens when both sides of an equation have fractions with different denominators?
2. How do you solve equations involving fractions and variables?
3. What is the process for clearing fractions from an equation?
4. Can you show an example of an equation with variables on both sides?
5. How do you solve and check for extraneous solutions in an equation?

**Tip:** Always simplify each side of the equation as much as possible before comparing or solving.

Learn how to solve the fraction equation -25/3 = 1/-3 + 8 step-by-step with detailed explanations. This problem involves fractions and equations, suitable for students in Grades 6-8.

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