Question

which expression is equivalent to 6(3n - 4)?
○ 9n - 10
○ 18n - 24
○ 18n - 4
○ 3n - 24

Explanation:

Step1: Apply the distributive property

To simplify \( 6(3n - 4) \), we use the distributive property \( a(b - c)=ab - ac \), where \( a = 6 \), \( b = 3n \), and \( c = 4 \).
So, \( 6\times3n-6\times4 \)

Step2: Calculate the products

\( 6\times3n = 18n \) and \( 6\times4 = 24 \).
Substituting these back, we get \( 18n - 24 \).

Answer:

\( 18n - 24 \) (corresponding to the option with "18n - 24")