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Simplifying -6(k + -3) + -1(-7k + -5) = 3 Reorder the terms: -6(-3 + k) + -1(-7k + -5) = 3 (-3 * -6 + k * -6) + -1(-7k + -5) = 3 (18 + -6k) + -1(-7k + -5) = 3 Reorder the terms: 18 + -6k + -1(-5 + -7k) = 3 18 + -6k + (-5 * -1 + -7k * -1) = 3 18 + -6k + (5 + 7k) = 3 Reorder the terms: 18 + 5 + -6k + 7k = 3 Combine like terms: 18 + 5 = 23 23 + -6k + 7k = 3 Combine like terms: -6k + 7k = 1k 23 + 1k = 3 Solving 23 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1k = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 1k = 3 + -23 1k = 3 + -23 Combine like terms: 3 + -23 = -20 1k = -20 Divide each side by '1'. k = -20 Simplifying k = -20
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