1. **State the problem:** Solve the inequality $$-2 \leq -78 - p$$ for $$p$$. 2. **Isolate the variable:** To solve for $$p$$, we want to get $$p$$ alone on one side of the inequality. 3. **Add 78 to both sides:** $$-2 + 78 \leq -78 - p + 78$$ $$76 \leq -p$$ 4. **Multiply both sides by -1 to solve for $$p$$:** Remember, multiplying or dividing an inequality by a negative number reverses the inequality sign. $$-1 \times 76 \geq -1 \times (-p)$$ $$-76 \geq p$$ 5. **Rewrite the inequality:** $$p \leq -76$$ **Final answer:** $$p \leq -76$$