Let's simplify the expression \((j+2) - 2(3-9j)\) step by step.
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Distribute the \(-2\) to the terms inside the parentheses: \[ (j + 2) - 2(3) + 2(9j) = (j + 2) - 6 + 18j \]
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Combine like terms: \[ j + 18j + 2 - 6 = 19j - 4 \]
So, the final result is: \[ \boxed{19j - 4} \]
Thus, the correct response is 19j−4.