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Simplifying 9(k + 1) = 4 Reorder the terms: 9(1 + k) = 4 (1 * 9 + k * 9) = 4 (9 + 9k) = 4 Solving 9 + 9k = 4 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 = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 9k = 4 + -9 9k = 4 + -9 Combine like terms: 4 + -9 = -5 9k = -5 Divide each side by '9'. k = -0.5555555556 Simplifying k = -0.5555555556
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