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Simplifying 3(5k + 3) + -6k = 18 Reorder the terms: 3(3 + 5k) + -6k = 18 (3 * 3 + 5k * 3) + -6k = 18 (9 + 15k) + -6k = 18 Combine like terms: 15k + -6k = 9k 9 + 9k = 18 Solving 9 + 9k = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9k = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 9k = 18 + -9 9k = 18 + -9 Combine like terms: 18 + -9 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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