Which of the following is the correct simplification of the expression below?

Rationale

16

To simplify the expression correctly, we perform the arithmetic operations as indicated. The final result of the calculations yields the value of 16, making it the correct simplification of the expression.

A (-8) YOUR ANSWER

This result is incorrect because it suggests that the operations performed led to a negative outcome, which does not align with the arithmetic calculations involved in the expression. The operations are designed to yield a positive result, and a final value of -8 indicates a miscalculation in either addition or subtraction.

B (16) CORRECT

This is the correct answer as it accurately reflects the outcome of the arithmetic operations applied in the expression. Upon simplification, the terms combine to yield a total of 16, confirming that this is the right choice.

C (-6) YOUR ANSWER

This choice is incorrect because a result of -6 implies that the calculations involved either an incorrect addition or subtraction of positive and negative numbers. The expression does not lead to a total that could result in a negative number, thus making this option invalid.

D (18) YOUR ANSWER

Choosing 18 suggests an overestimation of the total derived from the expression. This indicates that either too many positive values were counted or a mistake was made in the arithmetic operations. The actual simplification does not support this outcome.

Conclusion

The correct simplification of the expression yields the answer 16, which accurately reflects the proper execution of arithmetic operations. Other options, such as -8, -6, and 18, demonstrate either miscalculations or misunderstandings of the original expression's structure. Thus, 16 stands as the only correct and logical outcome.

Which of the following is the correct simplification of the expression below?

16

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