Let's simplify the expression \((j + 2) - 2(3 - 9j)\).
First, distribute the \(-2\) across the expression \(2(3 - 9j)\): \[ -2(3) + 2(9j) = -6 + 18j \]
Now, substitute this back into the original expression: \[ (j + 2) - (-6 + 18j) = j + 2 + 6 - 18j \]
Combine like terms: \[ j - 18j + 2 + 6 = -17j + 8 \]
However, if we check the constants, 2 + 6 = 8, so: \[ -17j + 8 \text{ which is also } -17j - (-8) \]
It appears there was a minor mix up in the calculations, but the best answer kept consistent with any process should yield \(-17j + 8\).
Looking at the original response options provided, none of them matches the expected output accurately.
In conclusion, after recalculating the expression step-by-step, the correct simplified result is: \(-17j + 8\), which might suggest re-evaluation against available options. But based on what was processed, it's none of the given choices.
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