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Simplifying -0.213542 + 0.333333k = 0.125k + -0.5 Reorder the terms: -0.213542 + 0.333333k = -0.5 + 0.125k Solving -0.213542 + 0.333333k = -0.5 + 0.125k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.125k' to each side of the equation. -0.213542 + 0.333333k + -0.125k = -0.5 + 0.125k + -0.125k Combine like terms: 0.333333k + -0.125k = 0.208333k -0.213542 + 0.208333k = -0.5 + 0.125k + -0.125k Combine like terms: 0.125k + -0.125k = 0.000 -0.213542 + 0.208333k = -0.5 + 0.000 -0.213542 + 0.208333k = -0.5 Add '0.213542' to each side of the equation. -0.213542 + 0.213542 + 0.208333k = -0.5 + 0.213542 Combine like terms: -0.213542 + 0.213542 = 0.000000 0.000000 + 0.208333k = -0.5 + 0.213542 0.208333k = -0.5 + 0.213542 Combine like terms: -0.5 + 0.213542 = -0.286458 0.208333k = -0.286458 Divide each side by '0.208333'. k = -1.3750006 Simplifying k = -1.3750006
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