Final answer:
The equation -6.5 + 5 = -(6.5 + __) does not correspond to any of the options listed (A -0.5, B -11.5, C 0.5, D 6.5). When solving the equation in two different ways, it is found that the blank should be -5, which is not an option provided. This indicates a possible error in the question or the options given.
Step-by-step explanation:
To solve the equation -6.5 + 5 = -(6.5 + __), we need to find a number that, when added to 6.5 and then negated, gives the same result as -6.5 + 5. Performing the subtraction -6.5 + 5, we get:
-6.5 + 5 = -1.5
Now, for the equation -(6.5 + __) to equal -1.5, the blank must be filled with a number that, when added to 6.5, gives a result of 1.5 because the negative sign will negate the entire sum:
6.5 + x = 1.5
x = 1.5 - 6.5
x = -5
However, since -5 is not in the list of options, we revisit the initial equation to find another approach. Let's add 6.5 to each side of the equation -(6.5 + __) = -1.5 to isolate the blank:
6.5 - (6.5 + __) = 6.5 - 1.5
(-1)×(__) = 5
__ = -5
Although this looks similar to the previous calculation, it makes clear that there is no matching option from the list, suggesting that there may be an error in the question, the list of options, or the interpretation of the expression.