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Simplifying 3.6(1 + 2k) + 2 = 27.2 (1 * 3.6 + 2k * 3.6) + 2 = 27.2 (3.6 + 7.2k) + 2 = 27.2 Reorder the terms: 3.6 + 2 + 7.2k = 27.2 Combine like terms: 3.6 + 2 = 5.6 5.6 + 7.2k = 27.2 Solving 5.6 + 7.2k = 27.2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + 7.2k = 27.2 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 7.2k = 27.2 + -5.6 7.2k = 27.2 + -5.6 Combine like terms: 27.2 + -5.6 = 21.6 7.2k = 21.6 Divide each side by '7.2'. k = 3 Simplifying k = 3
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