The problem asks us to find the expression that is equivalent to $7(n + 3)$. We need to use the distributive property to simplify the given expression and then find the equivalent expression from the choices given.

AlgebraDistributive PropertySimplificationExpressions
2025/5/31

1. Problem Description

The problem asks us to find the expression that is equivalent to 7(n+3)7(n + 3). We need to use the distributive property to simplify the given expression and then find the equivalent expression from the choices given.

2. Solution Steps

We need to simplify 7(n+3)7(n + 3). We will use the distributive property, which states that a(b+c)=ab+aca(b + c) = ab + ac.
Applying the distributive property:
7(n+3)=7n+737(n + 3) = 7*n + 7*3
7(n+3)=7n+217(n + 3) = 7n + 21
Now we look at the options provided:
10n
21n + 7
7n + 21
21n
The expression that matches our simplified expression is 7n+217n + 21.

3. Final Answer

7n + 21