To solve the expression \(8 - 2 \cdot 3 + 7\), we should follow the order of operations (PEMDAS/BODMAS):
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Multiplication: Calculate \(2 \cdot 3\).
\[ 2 \cdot 3 = 6 \]
The expression now becomes:
\[ 8 - 6 + 7 \]
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Subtraction and Addition: We perform the operations from left to right. First, do the subtraction:
\[ 8 - 6 = 2 \]
Now the expression is:
\[ 2 + 7 \]
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Finally, do the addition:
\[ 2 + 7 = 9 \]
Therefore, the value of the expression \(8 - 2 \cdot 3 + 7\) is \(9\).