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Simplifying 2k + 8(2k + 2) = -92 Reorder the terms: 2k + 8(2 + 2k) = -92 2k + (2 * 8 + 2k * 8) = -92 2k + (16 + 16k) = -92 Reorder the terms: 16 + 2k + 16k = -92 Combine like terms: 2k + 16k = 18k 16 + 18k = -92 Solving 16 + 18k = -92 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 + 18k = -92 + -16 Combine like terms: 16 + -16 = 0 0 + 18k = -92 + -16 18k = -92 + -16 Combine like terms: -92 + -16 = -108 18k = -108 Divide each side by '18'. k = -6 Simplifying k = -6
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