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Simplifying 5(1.2k + 6) = 7.1 + 34.4 Reorder the terms: 5(6 + 1.2k) = 7.1 + 34.4 (6 * 5 + 1.2k * 5) = 7.1 + 34.4 (30 + 6k) = 7.1 + 34.4 Combine like terms: 7.1 + 34.4 = 41.5 30 + 6k = 41.5 Solving 30 + 6k = 41.5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6k = 41.5 + -30 Combine like terms: 30 + -30 = 0 0 + 6k = 41.5 + -30 6k = 41.5 + -30 Combine like terms: 41.5 + -30 = 11.5 6k = 11.5 Divide each side by '6'. k = 1.916666667 Simplifying k = 1.916666667
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