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Simplifying 2(2k + 4) + -9k + 7 + 6 = 0 Reorder the terms: 2(4 + 2k) + -9k + 7 + 6 = 0 (4 * 2 + 2k * 2) + -9k + 7 + 6 = 0 (8 + 4k) + -9k + 7 + 6 = 0 Reorder the terms: 8 + 7 + 6 + 4k + -9k = 0 Combine like terms: 8 + 7 = 15 15 + 6 + 4k + -9k = 0 Combine like terms: 15 + 6 = 21 21 + 4k + -9k = 0 Combine like terms: 4k + -9k = -5k 21 + -5k = 0 Solving 21 + -5k = 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 + -5k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5k = 0 + -21 -5k = 0 + -21 Combine like terms: 0 + -21 = -21 -5k = -21 Divide each side by '-5'. k = 4.2 Simplifying k = 4.2
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