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Simplifying 6(7k + 1) + -5 = 85 Reorder the terms: 6(1 + 7k) + -5 = 85 (1 * 6 + 7k * 6) + -5 = 85 (6 + 42k) + -5 = 85 Reorder the terms: 6 + -5 + 42k = 85 Combine like terms: 6 + -5 = 1 1 + 42k = 85 Solving 1 + 42k = 85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 42k = 85 + -1 Combine like terms: 1 + -1 = 0 0 + 42k = 85 + -1 42k = 85 + -1 Combine like terms: 85 + -1 = 84 42k = 84 Divide each side by '42'. k = 2 Simplifying k = 2
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