Let z = 1 + 3i and w − z = − 3 − 4i. What is w?

Since w − z = −3 − 4i, add z to both sides: w = z + (−3 − 4i). Substituting z = 1 + 3i gives w = (1 − 3) + (3i − 4i) = −2 − i, so the answer is choice B, −2 − i.

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