To solve the equation \( u + (-5) = -15 \), we can follow these steps:

1. Simplify the left-hand side:  
   \( u + (-5) = u - 5 \).

   So the equation becomes:
   \[
   u - 5 = -15
   \]

2. To isolate \( u \), add 5 to both sides:
   \[
   u - 5 + 5 = -15 + 5
   \]
   \[
   u = -10
   \]

Thus, the solution is:
\[
u = -10
\]

Would you like further details or clarification? Here are 5 related questions to deepen your understanding:

1. What happens when you add or subtract negative numbers in an equation?
2. Can you solve \( u + (-7) = -20 \)?
3. How would you check if \( u = -10 \) is the correct solution?
4. What is the difference between adding and subtracting integers?
5. What are the steps to solve an equation involving negative numbers?

**Tip:** Always perform the opposite operation to isolate the variable (e.g., if subtracting, add).

Learn how to solve the linear equation u + (-5) = -15 with a step-by-step solution. This algebraic problem involves understanding negative numbers and simplifying equations. Suitable for students in Grades 6-8.

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