1. **State the problem:** Solve the equation $$D 4 - (3p) - 2 = p - 10$$ for $p$.
2. **Rewrite the equation clearly:** $$4 - 3p - 2 = p - 10$$
3. **Simplify the left side:** $$4 - 2 = 2$$ so the equation becomes $$2 - 3p = p - 10$$
4. **Add $3p$ to both sides to get all $p$ terms on one side:**
$$2 - \cancel{3p} + 3p = p + 3p - 10$$
$$2 = 4p - 10$$
5. **Add 10 to both sides to isolate the term with $p$:**
$$2 + 10 = 4p - 10 + 10$$
$$12 = 4p$$
6. **Divide both sides by 4 to solve for $p$:**
$$\frac{12}{\cancel{4}} = \frac{4p}{\cancel{4}}$$
$$3 = p$$
7. **Final answer:** $$p = 3$$
This means the value of $p$ that satisfies the equation is 3.
Solve For P 436B1B
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