Final answer:
Equivalent expressions to −6(n + 10) are found by applying the distributive property, resulting in −6n − 60. Expressions that simplify to this result are considered equivalent, and it's important to simplify correctly to verify equivalency.
Step-by-step explanation:
To find expressions equivalent to −6(n + 10), we need to apply the distributive property. This property allows us to multiply the −6 by each term inside the parentheses individually. The process looks like this: −6 × n + −6 × 10, which simplifies to −6n − 60.
When checking for equivalent expressions, we are essentially looking for expressions that reflect this simplified version. So any expression that simplifies to −6n − 60 is considered equivalent.
To ensure the answer is reasonable, it's important to eliminate terms that do not contribute to the simplified expression and to check that the multiplication and subtraction have been carried out correctly.