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Simplifying (3 + -12k) * 4 + -6k + 9 = 0 Reorder the terms for easier multiplication: 4(3 + -12k) + -6k + 9 = 0 (3 * 4 + -12k * 4) + -6k + 9 = 0 (12 + -48k) + -6k + 9 = 0 Reorder the terms: 12 + 9 + -48k + -6k = 0 Combine like terms: 12 + 9 = 21 21 + -48k + -6k = 0 Combine like terms: -48k + -6k = -54k 21 + -54k = 0 Solving 21 + -54k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -54k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -54k = 0 + -21 -54k = 0 + -21 Combine like terms: 0 + -21 = -21 -54k = -21 Divide each side by '-54'. k = 0.3888888889 Simplifying k = 0.3888888889
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