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.

Second Reasoning Step for the Complex Number Problem: Substitution

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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An example of a problem that can be solved using a step-by-step reasoning path is the simplification of a complex number expression. The task is to express the result of $(5 − 4i) − 2(3 + 6i)$ as a single complex number.

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