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Simplifying 6(k + 5) + -3k = 66 Reorder the terms: 6(5 + k) + -3k = 66 (5 * 6 + k * 6) + -3k = 66 (30 + 6k) + -3k = 66 Combine like terms: 6k + -3k = 3k 30 + 3k = 66 Solving 30 + 3k = 66 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 + 3k = 66 + -30 Combine like terms: 30 + -30 = 0 0 + 3k = 66 + -30 3k = 66 + -30 Combine like terms: 66 + -30 = 36 3k = 36 Divide each side by '3'. k = 12 Simplifying k = 12
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