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Simplifying 2(2k + 3) + -9k + 4 + 4 = 0 Reorder the terms: 2(3 + 2k) + -9k + 4 + 4 = 0 (3 * 2 + 2k * 2) + -9k + 4 + 4 = 0 (6 + 4k) + -9k + 4 + 4 = 0 Reorder the terms: 6 + 4 + 4 + 4k + -9k = 0 Combine like terms: 6 + 4 = 10 10 + 4 + 4k + -9k = 0 Combine like terms: 10 + 4 = 14 14 + 4k + -9k = 0 Combine like terms: 4k + -9k = -5k 14 + -5k = 0 Solving 14 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5k = 0 + -14 -5k = 0 + -14 Combine like terms: 0 + -14 = -14 -5k = -14 Divide each side by '-5'. k = 2.8 Simplifying k = 2.8
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