To solve the equation \( 13 - 2n = -109 \), we can follow these steps:
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Start with the equation: \[ 13 - 2n = -109 \]
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Subtract 13 from both sides: \[ -2n = -109 - 13 \]
This simplifies to: \[ -2n = -122 \]
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Next, divide both sides by -2: \[ n = \frac{-122}{-2} \]
This simplifies to: \[ n = 61 \]
Thus, the value of \( n \) that makes the equation true is \( n = 61 \).