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Simplifying 0.5(4 + -1k) = 2.5k (4 * 0.5 + -1k * 0.5) = 2.5k (2 + -0.5k) = 2.5k Solving 2 + -0.5k = 2.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.5k' to each side of the equation. 2 + -0.5k + -2.5k = 2.5k + -2.5k Combine like terms: -0.5k + -2.5k = -3k 2 + -3k = 2.5k + -2.5k Combine like terms: 2.5k + -2.5k = 0.0 2 + -3k = 0.0 Add '-2' to each side of the equation. 2 + -2 + -3k = 0.0 + -2 Combine like terms: 2 + -2 = 0 0 + -3k = 0.0 + -2 -3k = 0.0 + -2 Combine like terms: 0.0 + -2 = -2 -3k = -2 Divide each side by '-3'. k = 0.6666666667 Simplifying k = 0.6666666667
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