To expand \( 74(8h + 3) \), you will distribute 74 to both terms inside the parentheses:
\[ 74(8h) + 74(3) \]
Calculating each term:
- \( 74 \times 8h = 592h \)
- \( 74 \times 3 = 222 \)
Now, combine the results:
\[ 74(8h + 3) = 592h + 222 \]
So, the expanded expression is:
\[ \boxed{592h + 222} \]