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Simplifying -6(k + -2) + -1(-7k + 1) = 3 Reorder the terms: -6(-2 + k) + -1(-7k + 1) = 3 (-2 * -6 + k * -6) + -1(-7k + 1) = 3 (12 + -6k) + -1(-7k + 1) = 3 Reorder the terms: 12 + -6k + -1(1 + -7k) = 3 12 + -6k + (1 * -1 + -7k * -1) = 3 12 + -6k + (-1 + 7k) = 3 Reorder the terms: 12 + -1 + -6k + 7k = 3 Combine like terms: 12 + -1 = 11 11 + -6k + 7k = 3 Combine like terms: -6k + 7k = 1k 11 + 1k = 3 Solving 11 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1k = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1k = 3 + -11 1k = 3 + -11 Combine like terms: 3 + -11 = -8 1k = -8 Divide each side by '1'. k = -8 Simplifying k = -8
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