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8) Simplify the expression: [tex]\[ -27 + (-7) + 46 - (-12) \][/tex]

Sagot :

To solve the mathematical expression [tex]\(-27 + (-7) + 46 - (-12)\)[/tex], let's go through it step by step.

1. First, address any double negatives:
- The expression contains [tex]\(-(-12)\)[/tex], which simplifies to [tex]\(12\)[/tex]. So, the expression becomes:
[tex]\[ -27 + (-7) + 46 + 12 \][/tex]

2. Combine the negative numbers first:
- Add [tex]\(-27\)[/tex] and [tex]\(-7\)[/tex]:
[tex]\[ -27 + (-7) = -34 \][/tex]

3. Next, add the remaining positive numbers:
- Add [tex]\(46\)[/tex] and [tex]\(12\)[/tex]:
[tex]\[ 46 + 12 = 58 \][/tex]

4. Combine the results from the previous steps (negative and positive sums):
- The remaining expression is:
[tex]\[ -34 + 58 \][/tex]
- Adding these together:
[tex]\[ -34 + 58 = 24 \][/tex]

So, the value of the expression [tex]\(-27 + (-7) + 46 - (-12)\)[/tex] is [tex]\(24\)[/tex].

Thus, the final answer is:
[tex]\[ \boxed{24} \][/tex]
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