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Simplifying (3k + 7) * 6 = 0 Reorder the terms: (7 + 3k) * 6 = 0 Reorder the terms for easier multiplication: 6(7 + 3k) = 0 (7 * 6 + 3k * 6) = 0 (42 + 18k) = 0 Solving 42 + 18k = 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 + 18k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 18k = 0 + -42 18k = 0 + -42 Combine like terms: 0 + -42 = -42 18k = -42 Divide each side by '18'. k = -2.333333333 Simplifying k = -2.333333333
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