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simplify. -(5i + 4) - (1 + 7i) write your answer in the form a + bi.

Question

simplify. -(5i + 4) - (1 + 7i) write your answer in the form a + bi.

Explanation:

Step1: Distribute negative signs

\[-(5i + 4)-(1 + 7i)=-5i-4 - 1-7i\]

Step2: Combine like - terms

Combine real parts and imaginary parts separately. Real parts: \(-4-1=-5\), imaginary parts: \(-5i-7i=-12i\). So the result is \(-5-12i\).

Answer:

\(-5 - 12i\)