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Simplifying 9(k + 1) = 99 Reorder the terms: 9(1 + k) = 99 (1 * 9 + k * 9) = 99 (9 + 9k) = 99 Solving 9 + 9k = 99 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 = 99 + -9 Combine like terms: 9 + -9 = 0 0 + 9k = 99 + -9 9k = 99 + -9 Combine like terms: 99 + -9 = 90 9k = 90 Divide each side by '9'. k = 10 Simplifying k = 10
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