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Simplifying 7(k + 3) + -6(k + 3) = -6 Reorder the terms: 7(3 + k) + -6(k + 3) = -6 (3 * 7 + k * 7) + -6(k + 3) = -6 (21 + 7k) + -6(k + 3) = -6 Reorder the terms: 21 + 7k + -6(3 + k) = -6 21 + 7k + (3 * -6 + k * -6) = -6 21 + 7k + (-18 + -6k) = -6 Reorder the terms: 21 + -18 + 7k + -6k = -6 Combine like terms: 21 + -18 = 3 3 + 7k + -6k = -6 Combine like terms: 7k + -6k = 1k 3 + 1k = -6 Solving 3 + 1k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1k = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = -6 + -3 1k = -6 + -3 Combine like terms: -6 + -3 = -9 1k = -9 Divide each side by '1'. k = -9 Simplifying k = -9
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