To simplify the expression -12b + 6c + 18, factor out the greatest common factor of 6 to get -2b + c + 3, which means option b is the correct answer.
The expression -12b + 6c + 18 can be simplified by factoring out the greatest common factor, which is 6. This is done by dividing each term in the expression by 6.
The simplification process is as follows:
- Divide -12b by 6 to get -2b.
- Divide 6c by 6 to get c.
- Divide 18 by 6 to get 3.
Putting it all together, the simplified expression is -2b + c + 3. Therefore, the correct answer is option b.