Question

use the distributive property to write an equivalent expression.
7(3n - 4p + 6)

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab+ac + ad\). For \(7(3n - 4p + 6)\), we distribute 7 to each term inside the parentheses:
\(7\times3n-7\times4p + 7\times6\)

Step2: Calculate each product

Calculate \(7\times3n = 21n\), \(7\times4p=28p\), and \(7\times6 = 42\). So the expression becomes:
\(21n-28p + 42\)

Answer:

\(21n - 28p + 42\)