To expand \( \frac{2}{5} (-5c + 10) \), you will multiply each term inside the parentheses by \( \frac{2}{5} \).
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Multiply \( -5c \) by \( \frac{2}{5} \): \[ \frac{2}{5} \times (-5c) = -2c \]
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Multiply \( 10 \) by \( \frac{2}{5} \): \[ \frac{2}{5} \times 10 = \frac{20}{5} = 4 \]
Now, combine the results: \[ \frac{2}{5} (-5c + 10) = -2c + 4 \]
So the expanded expression is: \[ -2c + 4 \]
From the options you provided, the correct answer is -2c + 4.