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Simplifying 12(k + 6) + 9 = 5k + -9 Reorder the terms: 12(6 + k) + 9 = 5k + -9 (6 * 12 + k * 12) + 9 = 5k + -9 (72 + 12k) + 9 = 5k + -9 Reorder the terms: 72 + 9 + 12k = 5k + -9 Combine like terms: 72 + 9 = 81 81 + 12k = 5k + -9 Reorder the terms: 81 + 12k = -9 + 5k Solving 81 + 12k = -9 + 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. 81 + 12k + -5k = -9 + 5k + -5k Combine like terms: 12k + -5k = 7k 81 + 7k = -9 + 5k + -5k Combine like terms: 5k + -5k = 0 81 + 7k = -9 + 0 81 + 7k = -9 Add '-81' to each side of the equation. 81 + -81 + 7k = -9 + -81 Combine like terms: 81 + -81 = 0 0 + 7k = -9 + -81 7k = -9 + -81 Combine like terms: -9 + -81 = -90 7k = -90 Divide each side by '7'. k = -12.85714286 Simplifying k = -12.85714286
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