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Simplifying -2(k + -1) = 8(1 + k) Reorder the terms: -2(-1 + k) = 8(1 + k) (-1 * -2 + k * -2) = 8(1 + k) (2 + -2k) = 8(1 + k) 2 + -2k = (1 * 8 + k * 8) 2 + -2k = (8 + 8k) Solving 2 + -2k = 8 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 2 + -2k + -8k = 8 + 8k + -8k Combine like terms: -2k + -8k = -10k 2 + -10k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 2 + -10k = 8 + 0 2 + -10k = 8 Add '-2' to each side of the equation. 2 + -2 + -10k = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -10k = 8 + -2 -10k = 8 + -2 Combine like terms: 8 + -2 = 6 -10k = 6 Divide each side by '-10'. k = -0.6 Simplifying k = -0.6
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