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Simplifying 4(1 + -4k) = -92 (1 * 4 + -4k * 4) = -92 (4 + -16k) = -92 Solving 4 + -16k = -92 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -16k = -92 + -4 Combine like terms: 4 + -4 = 0 0 + -16k = -92 + -4 -16k = -92 + -4 Combine like terms: -92 + -4 = -96 -16k = -96 Divide each side by '-16'. k = 6 Simplifying k = 6
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