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Simplifying 0.8(1.7k + 3) = 0 Reorder the terms: 0.8(3 + 1.7k) = 0 (3 * 0.8 + 1.7k * 0.8) = 0 (2.4 + 1.36k) = 0 Solving 2.4 + 1.36k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1.36k = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1.36k = 0 + -2.4 1.36k = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 1.36k = -2.4 Divide each side by '1.36'. k = -1.764705882 Simplifying k = -1.764705882
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