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Simplifying -6k + 27 = 3(6 + -5k) Reorder the terms: 27 + -6k = 3(6 + -5k) 27 + -6k = (6 * 3 + -5k * 3) 27 + -6k = (18 + -15k) Solving 27 + -6k = 18 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 27 + -6k + 15k = 18 + -15k + 15k Combine like terms: -6k + 15k = 9k 27 + 9k = 18 + -15k + 15k Combine like terms: -15k + 15k = 0 27 + 9k = 18 + 0 27 + 9k = 18 Add '-27' to each side of the equation. 27 + -27 + 9k = 18 + -27 Combine like terms: 27 + -27 = 0 0 + 9k = 18 + -27 9k = 18 + -27 Combine like terms: 18 + -27 = -9 9k = -9 Divide each side by '9'. k = -1 Simplifying k = -1
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