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Simplifying 0.5k + 2 = 5 + 0.83333k Reorder the terms: 2 + 0.5k = 5 + 0.83333k Solving 2 + 0.5k = 5 + 0.83333k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.83333k' to each side of the equation. 2 + 0.5k + -0.83333k = 5 + 0.83333k + -0.83333k Combine like terms: 0.5k + -0.83333k = -0.33333k 2 + -0.33333k = 5 + 0.83333k + -0.83333k Combine like terms: 0.83333k + -0.83333k = 0.00000 2 + -0.33333k = 5 + 0.00000 2 + -0.33333k = 5 Add '-2' to each side of the equation. 2 + -2 + -0.33333k = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.33333k = 5 + -2 -0.33333k = 5 + -2 Combine like terms: 5 + -2 = 3 -0.33333k = 3 Divide each side by '-0.33333'. k = -9.000090001 Simplifying k = -9.000090001
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