Multiply (2 – 7i)(–1 + 4i).

Distribute the factors: (2)(−1) + (2)(4i) + (−7i)(−1) + (−7i)(4i) = −2 + 8i + 7i − 28i². Since i² = −1, this becomes −2 + 15i + 28 = 26 + 15i, which is choice A.

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