To use the distributive property on the expression \( 6(5c + 7v - 2d) \), you multiply each term inside the parentheses by \( 6 \):
\[ 6(5c) + 6(7v) + 6(-2d) \]
Now calculate each term:
- \( 6 \times 5c = 30c \)
- \( 6 \times 7v = 42v \)
- \( 6 \times -2d = -12d \)
Putting it all together, the expression becomes:
\[ 30c + 42v - 12d \]
So, the rewritten expression is \( 30c + 42v - 12d \).