To simplify the expression \((−6−3i)−(12+10i)\), we will first distribute the negative sign through the terms in the second set of parentheses.
So we have:
\[ −6−3i−12−10i \]
Next, we can combine the real parts and the imaginary parts separately:
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Real parts: \[ -6 - 12 = -18 \]
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Imaginary parts: \[ -3i - 10i = -13i \]
Now, combining these results, we get:
\[ -18 - 13i \]
Thus, the expression in \( a + bi \) form is:
\[ \boxed{-18 - 13i} \]