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Simplifying 9(k + 5) = -6 Reorder the terms: 9(5 + k) = -6 (5 * 9 + k * 9) = -6 (45 + 9k) = -6 Solving 45 + 9k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9k = -6 + -45 Combine like terms: 45 + -45 = 0 0 + 9k = -6 + -45 9k = -6 + -45 Combine like terms: -6 + -45 = -51 9k = -51 Divide each side by '9'. k = -5.666666667 Simplifying k = -5.666666667
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