The final answer to the problem of simplifying $$(5 − 4i) − 2(3 + 6i)$$ is the complex number $$-1 − 16i$$.

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The third reasoning step in evaluating the complex number expression $$(5 - 4i) - 2(3 + 6i)$$ is to perform subtraction on the simplified expression $$(5 - 4i) - (6 + 12i)$$. This is done by combining the real parts $$(5 - 6)$$ and the imaginary parts $$(-4i - 12i)$$, which results in $$-1 - 16i$$.

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