https://file.aiquickdraw.com/mathbot/file/1726714224011q36lyz9e.jpg

The expression in the image is:

\[
\frac{7}{w + 5} - \frac{2}{8} + 6
\]

### Steps to simplify:

1. Simplify the fraction \(\frac{2}{8}\):
   \[
   \frac{2}{8} = \frac{1}{4}
   \]
   So the expression becomes:
   \[
   \frac{7}{w + 5} - \frac{1}{4} + 6
   \]

2. Combine the constants:
   \[
   -\frac{1}{4} + 6 = 6 - \frac{1}{4} = \frac{24}{4} - \frac{1}{4} = \frac{23}{4}
   \]
   So, the expression is now:
   \[
   \frac{7}{w + 5} + \frac{23}{4}
   \]

This is the simplified form of the given expression.

Would you like a detailed explanation of any step?

### Relative questions:
1. How would this expression change if \( w = 0 \)?
2. Can you combine these terms into a single fraction?
3. What happens when \( w = -5 \)?
4. How would you solve this if the expression were set equal to 0?
5. What real-world problem could this expression represent?

**Tip:** Always simplify fractions early to avoid working with unnecessary complexity.

Simplify the expression 7/(w + 5) - 2/8 + 6.

Learn how to simplify the algebraic expression 7/(w + 5) - 2/8 + 6 with a detailed step-by-step solution. The problem focuses on key algebra concepts such as simplifying fractions and combining constants. Suitable for students in Grades 8-10.

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