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Simplifying 6(3k + 5) = 29 Reorder the terms: 6(5 + 3k) = 29 (5 * 6 + 3k * 6) = 29 (30 + 18k) = 29 Solving 30 + 18k = 29 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 + 18k = 29 + -30 Combine like terms: 30 + -30 = 0 0 + 18k = 29 + -30 18k = 29 + -30 Combine like terms: 29 + -30 = -1 18k = -1 Divide each side by '18'. k = -0.05555555556 Simplifying k = -0.05555555556
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