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Simplifying 5(1.2k + 6) = 7.1k + 64.4 Reorder the terms: 5(6 + 1.2k) = 7.1k + 64.4 (6 * 5 + 1.2k * 5) = 7.1k + 64.4 (30 + 6k) = 7.1k + 64.4 Reorder the terms: 30 + 6k = 64.4 + 7.1k Solving 30 + 6k = 64.4 + 7.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.1k' to each side of the equation. 30 + 6k + -7.1k = 64.4 + 7.1k + -7.1k Combine like terms: 6k + -7.1k = -1.1k 30 + -1.1k = 64.4 + 7.1k + -7.1k Combine like terms: 7.1k + -7.1k = 0.0 30 + -1.1k = 64.4 + 0.0 30 + -1.1k = 64.4 Add '-30' to each side of the equation. 30 + -30 + -1.1k = 64.4 + -30 Combine like terms: 30 + -30 = 0 0 + -1.1k = 64.4 + -30 -1.1k = 64.4 + -30 Combine like terms: 64.4 + -30 = 34.4 -1.1k = 34.4 Divide each side by '-1.1'. k = -31.27272727 Simplifying k = -31.27272727
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