6 – |____| = -1

To solve the equation ( 6 – |____| = -1 ), we first isolate the absolute value expression.

1. Subtract 6 from both sides:

[

-|____| = -1 – 6

]

This simplifies to:

[

-|____| = -7

]

2. Multiply both sides by -1:

[

|____| = 7

]

Now, the absolute value equation ( |____| = 7 ) means that the value inside the absolute value can be either 7 or -7. However, we are looking for a value that fits the original equation.

So we can set it to 7:

– If ( |____| = 7 ), then the answer that fits in the blank is 7.

Therefore, the correct answer is C) 7.