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Simplifying 0.2(k + 4) = 0.6 + -1k Reorder the terms: 0.2(4 + k) = 0.6 + -1k (4 * 0.2 + k * 0.2) = 0.6 + -1k (0.8 + 0.2k) = 0.6 + -1k Solving 0.8 + 0.2k = 0.6 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 0.8 + 0.2k + k = 0.6 + -1k + k Combine like terms: 0.2k + k = 1.2k 0.8 + 1.2k = 0.6 + -1k + k Combine like terms: -1k + k = 0 0.8 + 1.2k = 0.6 + 0 0.8 + 1.2k = 0.6 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1.2k = 0.6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.2k = 0.6 + -0.8 1.2k = 0.6 + -0.8 Combine like terms: 0.6 + -0.8 = -0.2 1.2k = -0.2 Divide each side by '1.2'. k = -0.1666666667 Simplifying k = -0.1666666667
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