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Simplifying 13(15.2k + 11.2) = 431.6 Reorder the terms: 13(11.2 + 15.2k) = 431.6 (11.2 * 13 + 15.2k * 13) = 431.6 (145.6 + 197.6k) = 431.6 Solving 145.6 + 197.6k = 431.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-145.6' to each side of the equation. 145.6 + -145.6 + 197.6k = 431.6 + -145.6 Combine like terms: 145.6 + -145.6 = 0.0 0.0 + 197.6k = 431.6 + -145.6 197.6k = 431.6 + -145.6 Combine like terms: 431.6 + -145.6 = 286 197.6k = 286 Divide each side by '197.6'. k = 1.447368421 Simplifying k = 1.447368421
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