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Simplifying 6(5k + 1) + 8 = -166 Reorder the terms: 6(1 + 5k) + 8 = -166 (1 * 6 + 5k * 6) + 8 = -166 (6 + 30k) + 8 = -166 Reorder the terms: 6 + 8 + 30k = -166 Combine like terms: 6 + 8 = 14 14 + 30k = -166 Solving 14 + 30k = -166 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 30k = -166 + -14 Combine like terms: 14 + -14 = 0 0 + 30k = -166 + -14 30k = -166 + -14 Combine like terms: -166 + -14 = -180 30k = -180 Divide each side by '30'. k = -6 Simplifying k = -6
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