To use the distributive property to write an equivalent expression for \(3(2h - 3k + 1)\), we distribute the \(3\) to each term inside the parentheses:
\[ 3(2h) + 3(-3k) + 3(1) \]
Now we calculate each term:
- \(3(2h) = 6h\)
- \(3(-3k) = -9k\)
- \(3(1) = 3\)
Putting it all together, we have:
\[ 6h - 9k + 3 \]
Thus, the equivalent expression is:
\[ 6h - 9k + 3 \]