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Simplifying -6(k + -5) + -1(-7k + -9) = 2 Reorder the terms: -6(-5 + k) + -1(-7k + -9) = 2 (-5 * -6 + k * -6) + -1(-7k + -9) = 2 (30 + -6k) + -1(-7k + -9) = 2 Reorder the terms: 30 + -6k + -1(-9 + -7k) = 2 30 + -6k + (-9 * -1 + -7k * -1) = 2 30 + -6k + (9 + 7k) = 2 Reorder the terms: 30 + 9 + -6k + 7k = 2 Combine like terms: 30 + 9 = 39 39 + -6k + 7k = 2 Combine like terms: -6k + 7k = 1k 39 + 1k = 2 Solving 39 + 1k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 1k = 2 + -39 Combine like terms: 39 + -39 = 0 0 + 1k = 2 + -39 1k = 2 + -39 Combine like terms: 2 + -39 = -37 1k = -37 Divide each side by '1'. k = -37 Simplifying k = -37
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