To find the value of [tex]\( |6| - |-6| - (-6) \)[/tex], we break it down into simpler steps:
1. Evaluate the absolute values and the negation:
- The absolute value of 6 is [tex]\( |6| \)[/tex], which is 6.
- The absolute value of -6 is [tex]\( |-6| \)[/tex], which is also 6.
- The negation of -6 is [tex]\( -(-6) \)[/tex], which becomes 6.
2. Substitute these values back into the expression:
- The expression now becomes [tex]\( 6 - 6 - 6 \)[/tex].
3. Perform the arithmetic operations one step at a time:
- First, subtract the first 6 from the second 6: [tex]\( 6 - 6 = 0 \)[/tex].
- Next, subtract the third 6 from the result: [tex]\( 0 - 6 = -6 \)[/tex].
Thus, the value of [tex]\( |6| - |-6| - (-6) \)[/tex] is [tex]\(-6\)[/tex]. However, it appears there might be a discrepancy between this calculation and the result provided earlier.
Let's re-evaluate with the values given directly:
- [tex]\( val1 = 6 \)[/tex]
- [tex]\( val2 = 6 \)[/tex]
- [tex]\( val3 = -6 \)[/tex]
Substituting directly as discussed earlier:
[tex]\[ val1 - val2 - val3 = 6 - 6 - (-6) \][/tex]
Since subtracting a negative is adding:
[tex]\[ 6 - 6 + 6 = 6 \][/tex]
Hence, the final answer is 6.
