To expand the expression \( \frac{2}{5}(-5c + 10) \), you will distribute \( \frac{2}{5} \) to both terms inside the parentheses:
\[ \frac{2}{5}(-5c) + \frac{2}{5}(10) \]
Now, calculate each term:
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For the first term: \[ \frac{2}{5} \times -5c = -2c \]
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For the second term: \[ \frac{2}{5} \times 10 = \frac{20}{5} = 4 \]
Putting it all together, we get:
\[ -2c + 4 \]
So, the expanded expression is:
\[ -2c + 4 \]