Final answer:
To simplify the expression -5(-6x + 3u - 4) using the distributive property, multiply each term inside parentheses by -5 to get 30x - 15u + 20.
Step-by-step explanation:
To use the distributive property to remove the parentheses in the expression -5(-6x + 3u - 4), we need to multiply each term within the parentheses by -5. This is similar to the basic principle where adding or subtracting negative numbers results in changing the sign.
Multiply -5 by -6x: -5 * -6x = 30x
Multiply -5 by 3u: -5 * 3u = -15u
Multiply -5 by -4: -5 * -4 = 20
After applying the distributive property, the simplified expression becomes 30x - 15u + 20.