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Simplifying 0.6k + -0.1 = 0.5 + 1 Reorder the terms: -0.1 + 0.6k = 0.5 + 1 Combine like terms: 0.5 + 1 = 1.5 -0.1 + 0.6k = 1.5 Solving -0.1 + 0.6k = 1.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.6k = 1.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.6k = 1.5 + 0.1 0.6k = 1.5 + 0.1 Combine like terms: 1.5 + 0.1 = 1.6 0.6k = 1.6 Divide each side by '0.6'. k = 2.666666667 Simplifying k = 2.666666667
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