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Simplifying 3(3k + 3) + -2(k + -7) = 0 Reorder the terms: 3(3 + 3k) + -2(k + -7) = 0 (3 * 3 + 3k * 3) + -2(k + -7) = 0 (9 + 9k) + -2(k + -7) = 0 Reorder the terms: 9 + 9k + -2(-7 + k) = 0 9 + 9k + (-7 * -2 + k * -2) = 0 9 + 9k + (14 + -2k) = 0 Reorder the terms: 9 + 14 + 9k + -2k = 0 Combine like terms: 9 + 14 = 23 23 + 9k + -2k = 0 Combine like terms: 9k + -2k = 7k 23 + 7k = 0 Solving 23 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7k = 0 + -23 7k = 0 + -23 Combine like terms: 0 + -23 = -23 7k = -23 Divide each side by '7'. k = -3.285714286 Simplifying k = -3.285714286
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