Let's work through the problems visible in the image.

Problem 1: $p + 4 + 3p - 3$

• Combine like terms:
  • Combine $p$ and $3p$: $p + 3p = 4p$
  • Combine constants $4$ and $-3$: $4 - 3 = 1$

Final Simplified Expression: $4p + 1$

Problem 2: $3 + h + 6 + 2h$

• Combine like terms:
  • Combine $h$ and $2h$: $h + 2h = 3h$
  • Combine constants $3$ and $6$: $3 + 6 = 9$

Final Simplified Expression: $9 + 3h$

Problem 5: $4h + 3h + 23h - 7$

• Combine like terms:
  • Combine $4h$, $3h$, and $23h$: $4h + 3h + 23h = 30h$
  • The constant $-7$ remains as is.

Final Simplified Expression: $30h - 7$

If you'd like to go through additional problems in detail or need explanations on the process, let me know!

Follow-up Questions

1. How do you identify "like terms" in an expression?
2. Can you combine terms with different variables, like $3x + 4y$?
3. How do constants behave when simplifying algebraic expressions?
4. What happens when combining terms with opposite signs (e.g., $5x - 3x$)?
5. What is the purpose of simplifying algebraic expressions?

Tip: Always double-check your work by reviewing each group of terms after combining, to ensure no terms are missed!