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Simplifying (3 + -29k)(-8) + -6k + 9 = 0 Reorder the terms for easier multiplication: -8(3 + -29k) + -6k + 9 = 0 (3 * -8 + -29k * -8) + -6k + 9 = 0 (-24 + 232k) + -6k + 9 = 0 Reorder the terms: -24 + 9 + 232k + -6k = 0 Combine like terms: -24 + 9 = -15 -15 + 232k + -6k = 0 Combine like terms: 232k + -6k = 226k -15 + 226k = 0 Solving -15 + 226k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 226k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 226k = 0 + 15 226k = 0 + 15 Combine like terms: 0 + 15 = 15 226k = 15 Divide each side by '226'. k = 0.06637168142 Simplifying k = 0.06637168142
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