Correct answer is A.
Step-by-step explanation:
To simplify the expression −3(v−6)−v, you need to apply the distributive property and the additive inverse property. The distributive property states that a(b + c) = ab + ac, which means that you can multiply a term outside the parentheses by each term inside the parentheses and then add the results. The additive inverse property states that a + (−a) = 0, which means that you can cancel out any term by adding its opposite.
Here are the steps to simplify the expression:
First, apply the distributive property to −3(v−6). Multiply −3 by v and −6, and then add the results. You get −3v + 18.
Second, rewrite the expression as −3v + 18 − v. You can drop the parentheses because there are no more terms inside them.
Third, combine the like terms −3v and −v. These are like terms because they have the same variable part. To combine them, you add their coefficients, which are the numbers in front of them. You get −4v.
Fourth, rewrite the expression as −4v + 18. This is the simplest form of the expression, because there are no more terms that can be combined or simplified.
Therefore, the correct answer is A. −4v + 18.
I hope this answer helps you understand how to simplify expressions using the distributive property and the additive inverse property. Thank you for chatting with me.