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Simplifying 2.27k + -0.27k + 6 = 11.0 Reorder the terms: 6 + 2.27k + -0.27k = 11.0 Combine like terms: 2.27k + -0.27k = 2k 6 + 2k = 11.0 Solving 6 + 2k = 11.0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2k = 11.0 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 11.0 + -6 2k = 11.0 + -6 Combine like terms: 11.0 + -6 = 5 2k = 5 Divide each side by '2'. k = 2.5 Simplifying k = 2.5
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