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Simplifying 4(4 + -4k) = -10 + -16j (4 * 4 + -4k * 4) = -10 + -16j (16 + -16k) = -10 + -16j Solving 16 + -16k = -10 + -16j Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -16k = -10 + -16 + -16j Combine like terms: 16 + -16 = 0 0 + -16k = -10 + -16 + -16j -16k = -10 + -16 + -16j Combine like terms: -10 + -16 = -26 -16k = -26 + -16j Divide each side by '-16'. k = 1.625 + j Simplifying k = 1.625 + j
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