To solve the equation \(-10 - |6p + 5| = -29\), follow these steps:

1. **Isolate the absolute value expression:**
   \[
   -|6p + 5| = -29 + 10
   \]
   \[
   -|6p + 5| = -19
   \]

2. **Eliminate the negative sign by dividing both sides by \(-1\):**
   \[
   |6p + 5| = 19
   \]

3. **Set up two separate equations to remove the absolute value:**

   - \(6p + 5 = 19\)
   - \(6p + 5 = -19\)

4. **Solve each equation for \(p\):**

   - For \(6p + 5 = 19\):
     \[
     6p = 19 - 5
     \]
     \[
     6p = 14
     \]
     \[
     p = \frac{14}{6} = \frac{7}{3}
     \]

   - For \(6p + 5 = -19\):
     \[
     6p = -19 - 5
     \]
     \[
     6p = -24
     \]
     \[
     p = \frac{-24}{6} = -4
     \]

So, the solutions are \( p = \frac{7}{3} \) and \( p = -4 \).

Would you like further details on this solution or have any other questions?

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Here are 5 related questions you might find helpful:

1. How do you solve other equations involving absolute values?
2. What happens if the right side of an equation like this is positive instead of negative?
3. How can you check your solutions for absolute value equations?
4. What if there's an additional term outside the absolute value in the equation?
5. How can you solve equations with multiple absolute value expressions?

**Tip:** Always isolate the absolute value expression before setting up the two possible equations for solving.

Learn how to solve the absolute value equation |-10 - |6p + 5|| = -29 with a detailed step-by-step solution. This problem covers absolute value equations and their solutions, suitable for high school students (Grades 9-12).

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