Answer:
The linear expression that is equivalent to (7 - 11v) - (27 - 23v) is 34 - 34v.
Explanation:
To simplify the expression (7 - 11v) - (27 - 23v), we need to distribute the negative sign to the terms inside the parentheses.
First, let's distribute the negative sign to (27 - 23v). When we distribute a negative sign to every term inside the parentheses, the positive signs become negative and the negative signs become positive. So, (27 - 23v) becomes -27 + 23v.
Now, our expression becomes (7 - 11v) - (-27 + 23v).
To simplify further, we can remove the parentheses and combine like terms.
(7 - 11v) - (-27 + 23v) can be rewritten as 7 - 11v + 27 - 23v.
Next, let's combine like terms. The like terms are the constants (7 and 27) and the terms with 'v' (-11v and -23v).
7 + 27 is equal to 34.
-11v - 23v is equal to -34v.
So, our expression simplifies to 34 - 34v.