Final answer:
The expression is simplified by distributing the negative sign and combining like terms, resulting in -8b + 9 - 5k. This answer is not listed in the options provided, suggesting an error in the given question or choices.
Step-by-step explanation:
To simplify the expression (-4b + 15 - 7k) - (6 + 4b - 2k), you need to distribute the negative sign through the second parenthesis and then combine like terms. This process is known as eliminating terms to simplify the algebra. Let's go through it step by step:
- Distribute the negative sign: (-4b + 15 - 7k) - 6 - 4b + 2k.
- Combine like terms: -4b - 4b + 15 - 6 - 7k + 2k.
- Simplify: -8b + 9 - 5k.
The simplified expression is -8b + 9 - 5k, which is not one of the multiple-choice options provided. If the multiple-choice options are correct, there may be a mistake in the original expression or in the options listed. It's essential to check the answer for reasonableness.