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Simplifying (3 + -29k)(4) + -6k + 9 = 0 Reorder the terms for easier multiplication: 4(3 + -29k) + -6k + 9 = 0 (3 * 4 + -29k * 4) + -6k + 9 = 0 (12 + -116k) + -6k + 9 = 0 Reorder the terms: 12 + 9 + -116k + -6k = 0 Combine like terms: 12 + 9 = 21 21 + -116k + -6k = 0 Combine like terms: -116k + -6k = -122k 21 + -122k = 0 Solving 21 + -122k = 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 + -122k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -122k = 0 + -21 -122k = 0 + -21 Combine like terms: 0 + -21 = -21 -122k = -21 Divide each side by '-122'. k = 0.1721311475 Simplifying k = 0.1721311475
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