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Simplifying 0.5k + 1 + -1k = 2k Reorder the terms: 1 + 0.5k + -1k = 2k Combine like terms: 0.5k + -1k = -0.5k 1 + -0.5k = 2k Solving 1 + -0.5k = 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. 1 + -0.5k + -2k = 2k + -2k Combine like terms: -0.5k + -2k = -2.5k 1 + -2.5k = 2k + -2k Combine like terms: 2k + -2k = 0 1 + -2.5k = 0 Add '-1' to each side of the equation. 1 + -1 + -2.5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2.5k = 0 + -1 -2.5k = 0 + -1 Combine like terms: 0 + -1 = -1 -2.5k = -1 Divide each side by '-2.5'. k = 0.4 Simplifying k = 0.4
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