To add the expressions \( (4d - 3) \) and \( (12d + 4) \), you combine like terms:
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Start with the expressions: \[ (4d - 3) + (12d + 4) \]
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Remove the parentheses: \[ 4d - 3 + 12d + 4 \]
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Combine the like terms. For the \(d\) terms: \[ 4d + 12d = 16d \]
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For the constant terms: \[ -3 + 4 = 1 \]
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Now, put it all together: \[ 16d + 1 \]
So, the result of adding the two expressions is: \[ \boxed{16d + 1} \]