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Simplifying -3(2k + -13) = -7k + 20 Reorder the terms: -3(-13 + 2k) = -7k + 20 (-13 * -3 + 2k * -3) = -7k + 20 (39 + -6k) = -7k + 20 Reorder the terms: 39 + -6k = 20 + -7k Solving 39 + -6k = 20 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 39 + -6k + 7k = 20 + -7k + 7k Combine like terms: -6k + 7k = 1k 39 + 1k = 20 + -7k + 7k Combine like terms: -7k + 7k = 0 39 + 1k = 20 + 0 39 + 1k = 20 Add '-39' to each side of the equation. 39 + -39 + 1k = 20 + -39 Combine like terms: 39 + -39 = 0 0 + 1k = 20 + -39 1k = 20 + -39 Combine like terms: 20 + -39 = -19 1k = -19 Divide each side by '1'. k = -19 Simplifying k = -19
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