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Simplifying 12(12k + 1) + 5 = -127 Reorder the terms: 12(1 + 12k) + 5 = -127 (1 * 12 + 12k * 12) + 5 = -127 (12 + 144k) + 5 = -127 Reorder the terms: 12 + 5 + 144k = -127 Combine like terms: 12 + 5 = 17 17 + 144k = -127 Solving 17 + 144k = -127 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 144k = -127 + -17 Combine like terms: 17 + -17 = 0 0 + 144k = -127 + -17 144k = -127 + -17 Combine like terms: -127 + -17 = -144 144k = -144 Divide each side by '144'. k = -1 Simplifying k = -1
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