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Simplifying 5(1.2k + 6) = 1.7k + 34.4 Reorder the terms: 5(6 + 1.2k) = 1.7k + 34.4 (6 * 5 + 1.2k * 5) = 1.7k + 34.4 (30 + 6k) = 1.7k + 34.4 Reorder the terms: 30 + 6k = 34.4 + 1.7k Solving 30 + 6k = 34.4 + 1.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.7k' to each side of the equation. 30 + 6k + -1.7k = 34.4 + 1.7k + -1.7k Combine like terms: 6k + -1.7k = 4.3k 30 + 4.3k = 34.4 + 1.7k + -1.7k Combine like terms: 1.7k + -1.7k = 0.0 30 + 4.3k = 34.4 + 0.0 30 + 4.3k = 34.4 Add '-30' to each side of the equation. 30 + -30 + 4.3k = 34.4 + -30 Combine like terms: 30 + -30 = 0 0 + 4.3k = 34.4 + -30 4.3k = 34.4 + -30 Combine like terms: 34.4 + -30 = 4.4 4.3k = 4.4 Divide each side by '4.3'. k = 1.023255814 Simplifying k = 1.023255814
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