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Simplifying 0.6 = 1 + k + 0.1 Reorder the terms: 0.6 = 1 + 0.1 + k Combine like terms: 1 + 0.1 = 1.1 0.6 = 1.1 + k Solving 0.6 = 1.1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 0.6 + -1k = 1.1 + k + -1k Combine like terms: k + -1k = 0 0.6 + -1k = 1.1 + 0 0.6 + -1k = 1.1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -1k = 1.1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1k = 1.1 + -0.6 -1k = 1.1 + -0.6 Combine like terms: 1.1 + -0.6 = 0.5 -1k = 0.5 Divide each side by '-1'. k = -0.5 Simplifying k = -0.5
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