Question

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5.
21h - 10h + 16 - 9 + 14h + 5 = 21h - 10h + 14h + 16 - 9 + 5 ← commutative property
= □h + ?

Explanation:

Step1: Combine like terms for h

First, combine the terms with \( h \): \( 21h - 10h + 14h \). Calculate \( 21 - 10 + 14 \). \( 21 - 10 = 11 \), then \( 11 + 14 = 25 \). So the coefficient of \( h \) is 25.

Step2: Combine constant terms

Next, combine the constant terms: \( 16 - 9 + 5 \). \( 16 - 9 = 7 \), then \( 7 + 5 = 12 \).

Answer:

\( 25h + 12 \)