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Simplifying 6(2k + 3) + -10k = 30 Reorder the terms: 6(3 + 2k) + -10k = 30 (3 * 6 + 2k * 6) + -10k = 30 (18 + 12k) + -10k = 30 Combine like terms: 12k + -10k = 2k 18 + 2k = 30 Solving 18 + 2k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2k = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 30 + -18 2k = 30 + -18 Combine like terms: 30 + -18 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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