Final answer:
To simplify the algebraic expression 4h + 3f + 3c + f + 2c + h + 2c, combine like terms to get 5h + 4f + 7c.
Step-by-step explanation:
The student is attempting to simplify an algebraic expression which involves combining like terms. The given expression is 4h + 3f + 3c + f + 2c + h + 2c. To simplify, we need to combine terms that have the same variable. So, we gather all terms with h, all terms with f, and all terms with c. We then add their coefficients (the numbers in front of the variables).
For h: 4h + h = 5h
For f: 3f + f = 4f
For c: 3c + 2c + 2c = 7c
Now, we combine these results to get the simplified expression: 5h + 4f + 7c.