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Use the order of operations to simplify 8 + 7 • 6 - 3 • 4 + 6 • 7 A 120 B 2,478 C 80 D 36

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To simplify the expression \( 8 + 7 \cdot 6 - 3 \cdot 4 + 6 \cdot 7 \), we'll use the order of operations (PEMDAS/BODMAS), which states we should perform multiplication and division before addition and subtraction.

  1. Calculate the multiplication terms: \[ 7 \cdot 6 = 42 \] \[ 3 \cdot 4 = 12 \] \[ 6 \cdot 7 = 42 \]

  2. Rewrite the expression substituting the multiplication results: \[ 8 + 42 - 12 + 42 \]

  3. Now perform addition and subtraction from left to right: \[ 8 + 42 = 50 \] \[ 50 - 12 = 38 \] \[ 38 + 42 = 80 \]

So, the simplified result is \( 80 \).

The correct answer is C) 80.