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Simplifying (3k + 4) * 6 + 7(k + 6) = 0 Reorder the terms: (4 + 3k) * 6 + 7(k + 6) = 0 Reorder the terms for easier multiplication: 6(4 + 3k) + 7(k + 6) = 0 (4 * 6 + 3k * 6) + 7(k + 6) = 0 (24 + 18k) + 7(k + 6) = 0 Reorder the terms: 24 + 18k + 7(6 + k) = 0 24 + 18k + (6 * 7 + k * 7) = 0 24 + 18k + (42 + 7k) = 0 Reorder the terms: 24 + 42 + 18k + 7k = 0 Combine like terms: 24 + 42 = 66 66 + 18k + 7k = 0 Combine like terms: 18k + 7k = 25k 66 + 25k = 0 Solving 66 + 25k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 25k = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 25k = 0 + -66 25k = 0 + -66 Combine like terms: 0 + -66 = -66 25k = -66 Divide each side by '25'. k = -2.64 Simplifying k = -2.64
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