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Simplifying 6(6k + 6) + -5 = 1 + 6k Reorder the terms: 6(6 + 6k) + -5 = 1 + 6k (6 * 6 + 6k * 6) + -5 = 1 + 6k (36 + 36k) + -5 = 1 + 6k Reorder the terms: 36 + -5 + 36k = 1 + 6k Combine like terms: 36 + -5 = 31 31 + 36k = 1 + 6k Solving 31 + 36k = 1 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 31 + 36k + -6k = 1 + 6k + -6k Combine like terms: 36k + -6k = 30k 31 + 30k = 1 + 6k + -6k Combine like terms: 6k + -6k = 0 31 + 30k = 1 + 0 31 + 30k = 1 Add '-31' to each side of the equation. 31 + -31 + 30k = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 30k = 1 + -31 30k = 1 + -31 Combine like terms: 1 + -31 = -30 30k = -30 Divide each side by '30'. k = -1 Simplifying k = -1
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