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Simplify: [tex]-(4-5)-(7-8)[/tex].

Provide your answer below:


Sagot :

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]