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Simplifying 0.66666667k + -1k + 0.375 = 0.5 Reorder the terms: 0.375 + 0.66666667k + -1k = 0.5 Combine like terms: 0.66666667k + -1k = -0.33333333k 0.375 + -0.33333333k = 0.5 Solving 0.375 + -0.33333333k = 0.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.375' to each side of the equation. 0.375 + -0.375 + -0.33333333k = 0.5 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.33333333k = 0.5 + -0.375 -0.33333333k = 0.5 + -0.375 Combine like terms: 0.5 + -0.375 = 0.125 -0.33333333k = 0.125 Divide each side by '-0.33333333'. k = -0.3750000038 Simplifying k = -0.3750000038
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