To expand the linear expression \( 3(4M + 7) \), you need to distribute the \( 3 \) to both terms inside the parentheses:
\[ 3(4M) + 3(7) \]
Now, calculate each term:
- \( 3 \times 4M = 12M \)
- \( 3 \times 7 = 21 \)
Now combine the results:
\[ 12M + 21 \]
So, the expanded expression is:
\[ 12M + 21 \]