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Simplifying 6(k + 3) + 7k = 0 Reorder the terms: 6(3 + k) + 7k = 0 (3 * 6 + k * 6) + 7k = 0 (18 + 6k) + 7k = 0 Combine like terms: 6k + 7k = 13k 18 + 13k = 0 Solving 18 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 13k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 13k = 0 + -18 13k = 0 + -18 Combine like terms: 0 + -18 = -18 13k = -18 Divide each side by '13'. k = -1.384615385 Simplifying k = -1.384615385
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