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Simplifying 31 = -9(3k + 7) Reorder the terms: 31 = -9(7 + 3k) 31 = (7 * -9 + 3k * -9) 31 = (-63 + -27k) Solving 31 = -63 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. 31 + 27k = -63 + -27k + 27k Combine like terms: -27k + 27k = 0 31 + 27k = -63 + 0 31 + 27k = -63 Add '-31' to each side of the equation. 31 + -31 + 27k = -63 + -31 Combine like terms: 31 + -31 = 0 0 + 27k = -63 + -31 27k = -63 + -31 Combine like terms: -63 + -31 = -94 27k = -94 Divide each side by '27'. k = -3.481481481 Simplifying k = -3.481481481
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