Final answer:
The distributive property is used by multiplying each term inside the parentheses by the number outside. For 9(6t - 2v), you would get an equivalent expression of 54t - 18v. If there is an extra term in the parentheses, multiply it by 9 as well and add to the expression.
Step-by-step explanation:
Your question appears to have a few typos, however, I will address the main intention of your question, which is to use the distributive property to write an equivalent expression.
The general principle of the distributive property is to multiply a single term by each term inside a set of parentheses and then combine the results.
Thus, if you have 9(6t - 2v), you would use the distributive property as follows:
- First, multiply 9 by 6t to get 54t.
- Then, multiply 9 by -2v to get -18v.
- Combine these two results to get the equivalent expression, which is 54t - 18v.
If there is an additional term, 9, inside the parentheses (assuming the initial question was meant to be 9(6t-2v+9)) we would also multiply this by 9 to get 81 and add this to our expression to get 54t - 18v + 81.