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Simplifying -1k + 5 = -6(7k + 6) Reorder the terms: 5 + -1k = -6(7k + 6) Reorder the terms: 5 + -1k = -6(6 + 7k) 5 + -1k = (6 * -6 + 7k * -6) 5 + -1k = (-36 + -42k) Solving 5 + -1k = -36 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 5 + -1k + 42k = -36 + -42k + 42k Combine like terms: -1k + 42k = 41k 5 + 41k = -36 + -42k + 42k Combine like terms: -42k + 42k = 0 5 + 41k = -36 + 0 5 + 41k = -36 Add '-5' to each side of the equation. 5 + -5 + 41k = -36 + -5 Combine like terms: 5 + -5 = 0 0 + 41k = -36 + -5 41k = -36 + -5 Combine like terms: -36 + -5 = -41 41k = -41 Divide each side by '41'. k = -1 Simplifying k = -1
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