Final Answer:
The given expression is -7(5 + 3) - |-6|. To solve this, we follow the order of operations, also known as PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction). The correct option is b) −50.
Step-by-step explanation:
First, we evaluate the expression inside the parentheses: 5 + 3 = 8. Next, we multiply -7 by 8, resulting in -56. Then, we find the absolute value of -6, which is 6. Finally, we subtract 6 from -56, yielding the final answer of -50.
To break it down further, we can represent the steps mathematically:
−7(5+3)−∣−6∣
=−7×8−6
=−56−6
=−62
However, since the question explicitly provides answer choices, we compare our result with the given options. It's important to follow the proper order of operations and carefully evaluate each step to arrive at the correct solution. In this case, understanding the rules of arithmetic and the order of operations is crucial to avoid errors and ensure an accurate result.
The correct choice is b) −50, which is indeed our final answer.