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. Evaluate the following expression: 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2 A. 31 B. –31 C. 30 D. 21

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Final answer:

To evaluate the expression, we follow the order of operations (PEMDAS). The result of the expression is 31.

Step-by-step explanation:

To evaluate the expression 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2, we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

  1. First, we perform the division: 24 ÷ 3 = 8.
  2. Next, we perform the multiplication: 7 ⋅ 2 = 14 and 6 ⋅ 2 = 12.
  3. Now, we can write the expression with the values we found: 8 + 14 - 15 ÷ 5 + 12.
  4. Then, we perform the division: 15 ÷ 5 = 3.
  5. Finally, we perform the addition and subtraction from left to right: 8 + 14 - 3 + 12 = 31.

Therefore, the evaluated expression is equal to 31.

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