Question

simplify the expression.
8n + 2(3n - 7) - 3

8n + 2(3n - 7) - 3 = \square

Explanation:

Step1: Distribute the 2

Using the distributive property \(a(b + c)=ab+ac\), we distribute the 2 in \(2(3n - 7)\):
\(2\times3n=6n\) and \(2\times(-7)=- 14\). So the expression becomes \(8n + 6n-14 - 3\).

Step2: Combine like terms

First, combine the \(n\)-terms: \(8n+6n = 14n\).
Then, combine the constant terms: \(-14-3=-17\).

Answer:

\(14n - 17\)