To solve the equation \( 15p + 16 = -13p - 12 \), follow these steps:

1. **Combine like terms**: Start by getting all the terms involving \( p \) on one side of the equation and the constant terms on the other side.
   \[
   15p + 13p = -12 - 16
   \]
   \[
   28p = -28
   \]

2. **Solve for \( p \)**: Divide both sides by 28 to isolate \( p \).
   \[
   p = \frac{-28}{28}
   \]
   \[
   p = -1
   \]

The solution is \( p = -1 \).

Would you like more details or have any questions?

Here are five related questions to explore:

1. What happens if the constants on both sides are equal?
2. How would the solution change if the coefficients of \( p \) were different?
3. Can you verify the solution by substituting \( p = -1 \) back into the original equation?
4. What is the process for solving a quadratic equation instead of a linear one?
5. How would you solve an equation with a fractional coefficient for \( p \)?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the linear equation 15p + 16 = -13p - 12 step-by-step. This tutorial covers key algebraic concepts such as combining like terms and isolating variables. Suitable for students in Grades 7-9.

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