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Simplifying 2k + -2.1k + 7.5 = 28.6 Reorder the terms: 7.5 + 2k + -2.1k = 28.6 Combine like terms: 2k + -2.1k = -0.1k 7.5 + -0.1k = 28.6 Solving 7.5 + -0.1k = 28.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -0.1k = 28.6 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -0.1k = 28.6 + -7.5 -0.1k = 28.6 + -7.5 Combine like terms: 28.6 + -7.5 = 21.1 -0.1k = 21.1 Divide each side by '-0.1'. k = -211 Simplifying k = -211
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