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Simplifying 6(2k + 5) + -3k = 56 Reorder the terms: 6(5 + 2k) + -3k = 56 (5 * 6 + 2k * 6) + -3k = 56 (30 + 12k) + -3k = 56 Combine like terms: 12k + -3k = 9k 30 + 9k = 56 Solving 30 + 9k = 56 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 + 9k = 56 + -30 Combine like terms: 30 + -30 = 0 0 + 9k = 56 + -30 9k = 56 + -30 Combine like terms: 56 + -30 = 26 9k = 26 Divide each side by '9'. k = 2.888888889 Simplifying k = 2.888888889
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