https://file.aiquickdraw.com/mathbot/file/1729776197173b7d2xanl.jpg

The equation provided is:

\[
-\frac{5}{8} = u + 6
\]

To solve for \( u \), follow these steps:

1. Subtract 6 from both sides to isolate \( u \):
   \[
   -\frac{5}{8} - 6 = u
   \]

2. Convert 6 into a fraction with a denominator of 8:
   \[
   6 = \frac{48}{8}
   \]

3. Now subtract the fractions:
   \[
   -\frac{5}{8} - \frac{48}{8} = u
   \]

4. Combine the fractions:
   \[
   u = \frac{-5 - 48}{8} = \frac{-53}{8}
   \]

So, the value of \( u \) is:
\[
u = -\frac{53}{8}
\]

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

Here are some related questions:
1. How do you convert a whole number into a fraction?
2. How can you simplify a negative fraction?
3. What is the general method for solving linear equations?
4. How can you check your solution to an equation?
5. What happens when you subtract a negative number?

**Tip:** Always check if fractions can be simplified after combining!

Learn how to solve the linear equation -5/8 = u + 6 by isolating the variable u. This solution involves converting whole numbers to fractions, combining fractions, and simplifying the result. Ideal for students in Grades 6-8 working with algebra and linear equations.

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