1. **State the problem:** Simplify the expression $5p - 3p + p$. 2. **Recall the rule:** When simplifying algebraic expressions, combine like terms by adding or subtracting their coefficients. 3. **Combine like terms:** $$5p - 3p + p = (5 - 3 + 1)p$$ 4. **Simplify the coefficients:** $$5 - 3 + 1 = \cancel{5} - \cancel{3} + 1 = 3$$ 5. **Write the final simplified expression:** $$3p$$ **Answer:** The simplified form of $5p - 3p + p$ is $3p$.