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Simplifying 9(k + 9) + 5 = 5k + 2 Reorder the terms: 9(9 + k) + 5 = 5k + 2 (9 * 9 + k * 9) + 5 = 5k + 2 (81 + 9k) + 5 = 5k + 2 Reorder the terms: 81 + 5 + 9k = 5k + 2 Combine like terms: 81 + 5 = 86 86 + 9k = 5k + 2 Reorder the terms: 86 + 9k = 2 + 5k Solving 86 + 9k = 2 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 86 + 9k + -5k = 2 + 5k + -5k Combine like terms: 9k + -5k = 4k 86 + 4k = 2 + 5k + -5k Combine like terms: 5k + -5k = 0 86 + 4k = 2 + 0 86 + 4k = 2 Add '-86' to each side of the equation. 86 + -86 + 4k = 2 + -86 Combine like terms: 86 + -86 = 0 0 + 4k = 2 + -86 4k = 2 + -86 Combine like terms: 2 + -86 = -84 4k = -84 Divide each side by '4'. k = -21 Simplifying k = -21
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