The next step 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 $-1 − 16i$.

Third Reasoning Step for the Complex Number Problem: Subtraction of Terms

After calculating the distribution, the result is substituted back into the original expression. The expression $(5 − 4i) − 2(3 + 6i)$ becomes equivalent to $(5 − 4i) − (6 + 12i)$, which prepares it for the final subtraction.

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The initial step in solving the expression $(5 − 4i) − 2(3 + 6i)$ is to apply the distributive property. The factor of 2 is multiplied by the terms in the parenthesis, yielding $2(3 + 6i) = 6 + 12i$.

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