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Simplify the following expression:(−5+4)3+4−4÷4Group of answer choices59-58-1-42

Question

Simplify the following expression:

(5+4)3+444 (-5 + 4) \cdot 3 + 4 - \frac{4}{4}

Group of answer choices:

  • 59
  • -58
  • -1
  • -42
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Solution

1. ### Break Down the Problem

We need to simplify the expression (5+4)3+44÷4(-5 + 4) \cdot 3 + 4 - 4 \div 4. This involves following the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

2. ### Relevant Concepts

We will apply the order of operations:

  1. Parentheses
  2. Multiplication and Division
  3. Addition and Subtraction

3. ### Analysis and Detail

  1. Calculate inside the parentheses: 5+4=1 -5 + 4 = -1

  2. Replace the parentheses in the expression: (1)3+44÷4 (-1) \cdot 3 + 4 - 4 \div 4

  3. Perform the multiplication: 13=3 -1 \cdot 3 = -3

  4. Now, replace it in the expression: 3+44÷4 -3 + 4 - 4 \div 4

  5. Perform the division: 4÷4=1 4 \div 4 = 1

  6. Replace it in the expression: 3+41 -3 + 4 - 1

  7. Perform the addition and subtraction from left to right: 3+4=1 -3 + 4 = 1 11=0 1 - 1 = 0

4. ### Verify and Summarize

All calculations were performed according to the order of operations. The final expression simplifies to 00.

Final Answer

The simplified expression is 00.

This problem has been solved

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