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Simplifying 5(2.2k + 6) = 8.1k + 34.4 Reorder the terms: 5(6 + 2.2k) = 8.1k + 34.4 (6 * 5 + 2.2k * 5) = 8.1k + 34.4 (30 + 11k) = 8.1k + 34.4 Reorder the terms: 30 + 11k = 34.4 + 8.1k Solving 30 + 11k = 34.4 + 8.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.1k' to each side of the equation. 30 + 11k + -8.1k = 34.4 + 8.1k + -8.1k Combine like terms: 11k + -8.1k = 2.9k 30 + 2.9k = 34.4 + 8.1k + -8.1k Combine like terms: 8.1k + -8.1k = 0.0 30 + 2.9k = 34.4 + 0.0 30 + 2.9k = 34.4 Add '-30' to each side of the equation. 30 + -30 + 2.9k = 34.4 + -30 Combine like terms: 30 + -30 = 0 0 + 2.9k = 34.4 + -30 2.9k = 34.4 + -30 Combine like terms: 34.4 + -30 = 4.4 2.9k = 4.4 Divide each side by '2.9'. k = 1.517241379 Simplifying k = 1.517241379
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