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Simplifying 2(5k + 4) + -12k + 9 + 4 = 0 Reorder the terms: 2(4 + 5k) + -12k + 9 + 4 = 0 (4 * 2 + 5k * 2) + -12k + 9 + 4 = 0 (8 + 10k) + -12k + 9 + 4 = 0 Reorder the terms: 8 + 9 + 4 + 10k + -12k = 0 Combine like terms: 8 + 9 = 17 17 + 4 + 10k + -12k = 0 Combine like terms: 17 + 4 = 21 21 + 10k + -12k = 0 Combine like terms: 10k + -12k = -2k 21 + -2k = 0 Solving 21 + -2k = 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 + -2k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2k = 0 + -21 -2k = 0 + -21 Combine like terms: 0 + -21 = -21 -2k = -21 Divide each side by '-2'. k = 10.5 Simplifying k = 10.5
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