To expand the expression \(-5(-3 - 11g)\), we can use the distributive property. This means we multiply \(-5\) by each term inside the parentheses.
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Multiply \(-5\) by \(-3\): \(-5 \times -3 = 15\)
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Multiply \(-5\) by \(-11g\): \(-5 \times -11g = 55g\)
Now, combine these results:
\[ -5(-3 - 11g) = 15 + 55g \]
Rearranging gives us:
\[ 55g + 15 \]
Therefore, the correct answer is:
D: \(55g + 15\).