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Simplifying 7k + 9(k + 6) + -3k + -12 = 0 Reorder the terms: 7k + 9(6 + k) + -3k + -12 = 0 7k + (6 * 9 + k * 9) + -3k + -12 = 0 7k + (54 + 9k) + -3k + -12 = 0 Reorder the terms: 54 + -12 + 7k + 9k + -3k = 0 Combine like terms: 54 + -12 = 42 42 + 7k + 9k + -3k = 0 Combine like terms: 7k + 9k = 16k 42 + 16k + -3k = 0 Combine like terms: 16k + -3k = 13k 42 + 13k = 0 Solving 42 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 13k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 13k = 0 + -42 13k = 0 + -42 Combine like terms: 0 + -42 = -42 13k = -42 Divide each side by '13'. k = -3.230769231 Simplifying k = -3.230769231
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