1. **State the problem:** Solve the equation $$-4(p + 5) = 20$$.
2. **Use the distributive property:** Multiply $$-4$$ by each term inside the parentheses.
$$-4(p + 5) = -4p - 20$$
So the equation becomes:
$$-4p - 20 = 20$$
3. **Isolate the term with $$p$$:** Add 20 to both sides to cancel the $$-20$$.
$$-4p - 20 + 20 = 20 + 20$$
$$-4p = 40$$
4. **Solve for $$p$$:** Divide both sides by $$-4$$.
$$p = \frac{40}{-4}$$
Show the cancellation:
$$p = \frac{\cancel{40}}{\cancel{-4}} \times \frac{10}{-1} = -10$$
5. **Final answer:**
$$p = -10$$
Solve Linear 5Bed05
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.