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Simplifying 6(2k + 1) + -6k + -2 = 14.016 Reorder the terms: 6(1 + 2k) + -6k + -2 = 14.016 (1 * 6 + 2k * 6) + -6k + -2 = 14.016 (6 + 12k) + -6k + -2 = 14.016 Reorder the terms: 6 + -2 + 12k + -6k = 14.016 Combine like terms: 6 + -2 = 4 4 + 12k + -6k = 14.016 Combine like terms: 12k + -6k = 6k 4 + 6k = 14.016 Solving 4 + 6k = 14.016 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6k = 14.016 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 14.016 + -4 6k = 14.016 + -4 Combine like terms: 14.016 + -4 = 10.016 6k = 10.016 Divide each side by '6'. k = 1.669333333 Simplifying k = 1.669333333
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