Let's simplify the expression step-by-step:
Given expression:
[tex]\[ -(4 - 5) - (7 - 8) \][/tex]
1. Simplify the inner parentheses:
- For [tex]\(4 - 5\)[/tex]:
[tex]\[ 4 - 5 = -1 \][/tex]
- For [tex]\(7 - 8\)[/tex]:
[tex]\[ 7 - 8 = -1 \][/tex]
So, substituting the simplified terms back into the expression, we get:
[tex]\[ -(-1) - (-1) \][/tex]
2. Apply the outer negative signs:
- For [tex]\(-(-1)\)[/tex]:
[tex]\[ -(-1) = 1 \][/tex]
- For [tex]\(-(-1)\)[/tex]:
[tex]\[ -(-1) = 1 \][/tex]
So, the expression now becomes:
[tex]\[ 1 - 1 \][/tex]
3. Combine the two terms:
[tex]\[ 1 - 1 = 0 \][/tex]
Therefore, the simplified result is:
[tex]\[ 0 \][/tex]
