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Simplifying 9 + 3(9k + 9) = 0 Reorder the terms: 9 + 3(9 + 9k) = 0 9 + (9 * 3 + 9k * 3) = 0 9 + (27 + 27k) = 0 Combine like terms: 9 + 27 = 36 36 + 27k = 0 Solving 36 + 27k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 27k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 27k = 0 + -36 27k = 0 + -36 Combine like terms: 0 + -36 = -36 27k = -36 Divide each side by '27'. k = -1.333333333 Simplifying k = -1.333333333
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