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Simplifying (3 + -5k) * 3 + -6k + 9 = 0 Reorder the terms for easier multiplication: 3(3 + -5k) + -6k + 9 = 0 (3 * 3 + -5k * 3) + -6k + 9 = 0 (9 + -15k) + -6k + 9 = 0 Reorder the terms: 9 + 9 + -15k + -6k = 0 Combine like terms: 9 + 9 = 18 18 + -15k + -6k = 0 Combine like terms: -15k + -6k = -21k 18 + -21k = 0 Solving 18 + -21k = 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 + -21k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -21k = 0 + -18 -21k = 0 + -18 Combine like terms: 0 + -18 = -18 -21k = -18 Divide each side by '-21'. k = 0.8571428571 Simplifying k = 0.8571428571
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