To solve for \( D \) in the equation \( 27D - 9 - 12D = 21 \), we need to:
Starting with the equation: \[ 27D - 9 - 12D = 21 \] we combine the \( D \) terms: \[ (27D - 12D) - 9 = 21 \] which simplifies to: \[ 15D - 9 = 21 \]
Next, we isolate \( D \) by adding 9 to both sides: \[ 15D = 21 + 9 \] This simplifies to: \[ 15D = 30 \]
Now, we divide both sides by 15: \[ D = \frac{30}{15} \] which simplifies to: \[ D = 2 \]
The value of \( D \) is \(\boxed{2}\).
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