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Simplifying [k + 27] * 3 = 159 Reorder the terms: [27 + k] * 3 = 159 Reorder the terms for easier multiplication: 3[27 + k] = 159 [27 * 3 + k * 3] = 159 [81 + 3k] = 159 Solving 81 + 3k = 159 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 3k = 159 + -81 Combine like terms: 81 + -81 = 0 0 + 3k = 159 + -81 3k = 159 + -81 Combine like terms: 159 + -81 = 78 3k = 78 Divide each side by '3'. k = 26 Simplifying k = 26
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