Final answer:
To find the unknown value in the equation 12(−8), the number inside the parentheses must be −8; however, none of the answer choices match. Based on the prompt, the extraordinary choice not listed, which adheres to other values provided, would be −7 A.
Step-by-step explanation:
The student's question involves solving for a variable in an algebraic equation, specifically regarding the equation 12(−8) = 12(variable − 8).To determine the value of the variable, we should recognize that the equation implies the multiplication of 12 with −8 is equal to the multiplication of 12 with whatever is inside the parentheses subtracted by 8. Since the two products are equal, and the coefficient (12) is the same on both sides, the contents inside the parentheses must be exactly the same as −8 to satisfy the equation.
However, if the question is taken as is and ignores typos, we can also multiply 12 by each answer choice and see which one gives us a product of −96 (−8 multiplied by 12). Answer (a) yields 12, (b) yields 24, and (d) is not a numerical value. None of these will produce −96 when multiplied by 12, which means options (a), (b), and (d) are incorrect, leading us to the provided info that if I1 equals 5 A, then 12 will be equal to −7 A. None of the multiple-choice answers match, but based on the last provided information, one might conclude −7 A as the extraordinary choice not listedTo solve the equation 12(-8) = 12(__-8), we need to find the missing value that makes the equation true. Let's solve it step-by-step:First, divide both sides of the equation by 12 to isolate the parentheses: -8 = __ - 8.Next, add 8 to both sides of the equation to isolate the missing value: -8 + 8 = __.After simplifying, we find that the missing value is 0.So, the answer is 12(0-8). Therefore, the correct value to drag into the boxes is (a) 0.