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Simplifying 2(k + 3) + -1(7k + -7) = -6k Reorder the terms: 2(3 + k) + -1(7k + -7) = -6k (3 * 2 + k * 2) + -1(7k + -7) = -6k (6 + 2k) + -1(7k + -7) = -6k Reorder the terms: 6 + 2k + -1(-7 + 7k) = -6k 6 + 2k + (-7 * -1 + 7k * -1) = -6k 6 + 2k + (7 + -7k) = -6k Reorder the terms: 6 + 7 + 2k + -7k = -6k Combine like terms: 6 + 7 = 13 13 + 2k + -7k = -6k Combine like terms: 2k + -7k = -5k 13 + -5k = -6k Solving 13 + -5k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 13 + -5k + 6k = -6k + 6k Combine like terms: -5k + 6k = 1k 13 + 1k = -6k + 6k Combine like terms: -6k + 6k = 0 13 + 1k = 0 Add '-13' to each side of the equation. 13 + -13 + 1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 1k = 0 + -13 1k = 0 + -13 Combine like terms: 0 + -13 = -13 1k = -13 Divide each side by '1'. k = -13 Simplifying k = -13
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