4. The Distributive Property
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Recall the Distributive Property.
B
We are asked to match the given expression with an equivalent expression. First, we will simplify it. To do it, we will use the Distributive Property. We will distribute 3 to the terms inside the parentheses.
Since $6n$ and $9$ are not like terms, the expression cannot be simplified further. Now let's take a look at the possible equivalent expressions.
| Option | Expression | Is It Equivalent to $6n+9?$ |
|---|---|---|
| A | $3(2n+6)$ | ? |
| B | $6n+9$ | Yes |
| C | $3(2n+8)$ | ? |
| D | $6n+12$ | No |
We found that the expression from option B is equivalent to the given expression!