Question

Simplify the expression.
​
​ −6q+7−2+4q−6q+7−2+4q 

A

5−2q5-2q5−2q 

B

2q−52q-52q−5 

C

5+2q5+2q5+2q 

D

10+2q10+2q10+2q 

Answer 1

To simplify the expression \(-6q + 7 - 2 + 4q - 6q + 7 - 2 + 4q\), we can first combine like terms.

1. Combine the \(q\) terms:
\(-6q + 4q - 6q + 4q\)

- Adding these gives:
\(-6q + 4q = -2q\)
\(-2q - 6q = -8q\)
\(-8q + 4q = -4q\)

So, the total for the \(q\) terms is \(-4q\).

2. Combine the constant terms:
\(7 - 2 + 7 - 2\)

- Adding these gives:
\(7 - 2 = 5\)
\(5 + 7 = 12\)
\(12 - 2 = 10\)

So, the total for the constant terms is \(10\).

Combining both results, we have:

\(-4q + 10\)

This can also be rearranged to:

\(10 - 4q\).

However, re-checking the answer choices provided, none matches \(10 - 4q\).


Let's simplify further by considering the form needed. It seems most closest to rearranging as:

**Final Expression:**
\(-4q + 10\) or \(10 - 4q\) <not listed>

### Checking Provided Options:
A. \(5 - 2q\)
B. \(2q - 5\)
C. \(5 + 2q\)
D. \(10 + 2q\)

Since none of these fit with the correct simplification \(-4q + 10\).

However, if there is any other way to interpret your question (or re-arrangement), please verify!

Thus, none of the options correctly simplifies the original expression.

Please check with any given details or arrangements that could have an option match.