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Simplifying 7(k + 3) = -18 + -6k Reorder the terms: 7(3 + k) = -18 + -6k (3 * 7 + k * 7) = -18 + -6k (21 + 7k) = -18 + -6k Solving 21 + 7k = -18 + -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. 21 + 7k + 6k = -18 + -6k + 6k Combine like terms: 7k + 6k = 13k 21 + 13k = -18 + -6k + 6k Combine like terms: -6k + 6k = 0 21 + 13k = -18 + 0 21 + 13k = -18 Add '-21' to each side of the equation. 21 + -21 + 13k = -18 + -21 Combine like terms: 21 + -21 = 0 0 + 13k = -18 + -21 13k = -18 + -21 Combine like terms: -18 + -21 = -39 13k = -39 Divide each side by '13'. k = -3 Simplifying k = -3
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