Question: User: 11+2p=p+4 what is the solution to this problem
1. **State the problem:** Solve the equation $$11 + 2p = p + 4$$ for the variable $$p$$.
2. **Write down the equation:** $$11 + 2p = p + 4$$
3. **Isolate the variable terms on one side:** Subtract $$p$$ from both sides to get all $$p$$ terms on the left.
$$11 + 2p - p = p + 4 - p$$
4. **Simplify both sides:**
$$11 + \cancel{2p} - \cancel{p} = \cancel{p} + 4 - \cancel{p}$$
which simplifies to
$$11 + p = 4$$
5. **Isolate $$p$$:** Subtract $$11$$ from both sides.
$$11 + p - 11 = 4 - 11$$
6. **Simplify:**
$$\cancel{11} + p - \cancel{11} = 4 - 11$$
which gives
$$p = -7$$
7. **Final answer:** $$p = -7$$