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Simplifying 2k + 5 = 0.5(1 + -1k) Reorder the terms: 5 + 2k = 0.5(1 + -1k) 5 + 2k = (1 * 0.5 + -1k * 0.5) 5 + 2k = (0.5 + -0.5k) Solving 5 + 2k = 0.5 + -0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5k' to each side of the equation. 5 + 2k + 0.5k = 0.5 + -0.5k + 0.5k Combine like terms: 2k + 0.5k = 2.5k 5 + 2.5k = 0.5 + -0.5k + 0.5k Combine like terms: -0.5k + 0.5k = 0.0 5 + 2.5k = 0.5 + 0.0 5 + 2.5k = 0.5 Add '-5' to each side of the equation. 5 + -5 + 2.5k = 0.5 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5k = 0.5 + -5 2.5k = 0.5 + -5 Combine like terms: 0.5 + -5 = -4.5 2.5k = -4.5 Divide each side by '2.5'. k = -1.8 Simplifying k = -1.8
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