To expand the expression \(-5(-3 - 11g)\), we'll distribute \(-5\) to both terms 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 we put these results together: \[ 15 + 55g \]
Rearranging it gives: \[ 55g + 15 \]
So the final expanded expression is: \[ \boxed{55g + 15} \]