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Simplifying 8k + 22 = 2(1 + -1k) Reorder the terms: 22 + 8k = 2(1 + -1k) 22 + 8k = (1 * 2 + -1k * 2) 22 + 8k = (2 + -2k) Solving 22 + 8k = 2 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 22 + 8k + 2k = 2 + -2k + 2k Combine like terms: 8k + 2k = 10k 22 + 10k = 2 + -2k + 2k Combine like terms: -2k + 2k = 0 22 + 10k = 2 + 0 22 + 10k = 2 Add '-22' to each side of the equation. 22 + -22 + 10k = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 10k = 2 + -22 10k = 2 + -22 Combine like terms: 2 + -22 = -20 10k = -20 Divide each side by '10'. k = -2 Simplifying k = -2
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