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Simplifying 6(3k + 5) = 38 Reorder the terms: 6(5 + 3k) = 38 (5 * 6 + 3k * 6) = 38 (30 + 18k) = 38 Solving 30 + 18k = 38 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 = 38 + -30 Combine like terms: 30 + -30 = 0 0 + 18k = 38 + -30 18k = 38 + -30 Combine like terms: 38 + -30 = 8 18k = 8 Divide each side by '18'. k = 0.4444444444 Simplifying k = 0.4444444444
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