To add the expressions \( (4d - 3) + (12d + 4) \), we can combine like terms.
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Combine the \(d\) terms: \[ 4d + 12d = 16d \]
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Combine the constant terms: \[ -3 + 4 = 1 \]
Putting it all together, we have: \[ (4d - 3) + (12d + 4) = 16d + 1 \]
So, the final answer is: \[ \boxed{16d + 1} \]