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Simplifying 8(8 + -1k) = -27k (8 * 8 + -1k * 8) = -27k (64 + -8k) = -27k Solving 64 + -8k = -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. 64 + -8k + 27k = -27k + 27k Combine like terms: -8k + 27k = 19k 64 + 19k = -27k + 27k Combine like terms: -27k + 27k = 0 64 + 19k = 0 Add '-64' to each side of the equation. 64 + -64 + 19k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 19k = 0 + -64 19k = 0 + -64 Combine like terms: 0 + -64 = -64 19k = -64 Divide each side by '19'. k = -3.368421053 Simplifying k = -3.368421053
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