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Simplifying 3(k + 4) + -14k + 9 + 2 = 0 Reorder the terms: 3(4 + k) + -14k + 9 + 2 = 0 (4 * 3 + k * 3) + -14k + 9 + 2 = 0 (12 + 3k) + -14k + 9 + 2 = 0 Reorder the terms: 12 + 9 + 2 + 3k + -14k = 0 Combine like terms: 12 + 9 = 21 21 + 2 + 3k + -14k = 0 Combine like terms: 21 + 2 = 23 23 + 3k + -14k = 0 Combine like terms: 3k + -14k = -11k 23 + -11k = 0 Solving 23 + -11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -11k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -11k = 0 + -23 -11k = 0 + -23 Combine like terms: 0 + -23 = -23 -11k = -23 Divide each side by '-11'. k = 2.090909091 Simplifying k = 2.090909091
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