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Which of the following linear expressions is equivalent to ( 7 − 11 v ) − ( 27 − 23 v ) ?

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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.

User James Bateson
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