To use the distributive property to expand the expression 6(3x - 4y + 7z), you distribute the 6 to each term inside the parentheses:
6(3x - 4y + 7z) = 6 * 3x - 6 * 4y + 6 * 7z
Now, perform the multiplications:
= 18x - 24y + 42z
So, using the distributive property, the expression 6(3x - 4y + 7z) can be expanded as:
18x - 24y + 42z