To find the sum of 12 and -3, we need to add the two numbers together. This involves simple arithmetic addition.
We start with the numbers given in the problem: \[ a = 12 \quad \text{and} \quad b = -3 \]
We need to add the two numbers together: \[ 12 + (-3) \]
Simplify the addition: \[ 12 + (-3) = 12 - 3 = 9 \]
\[ \boxed{9} \]
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