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Simplifying 1.8(5.6k + 2.5) = 82.116 Reorder the terms: 1.8(2.5 + 5.6k) = 82.116 (2.5 * 1.8 + 5.6k * 1.8) = 82.116 (4.5 + 10.08k) = 82.116 Solving 4.5 + 10.08k = 82.116 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 10.08k = 82.116 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 10.08k = 82.116 + -4.5 10.08k = 82.116 + -4.5 Combine like terms: 82.116 + -4.5 = 77.616 10.08k = 77.616 Divide each side by '10.08'. k = 7.7 Simplifying k = 7.7
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