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Simplifying 3(2k + 4) + -10k + 9 + 2 = 0 Reorder the terms: 3(4 + 2k) + -10k + 9 + 2 = 0 (4 * 3 + 2k * 3) + -10k + 9 + 2 = 0 (12 + 6k) + -10k + 9 + 2 = 0 Reorder the terms: 12 + 9 + 2 + 6k + -10k = 0 Combine like terms: 12 + 9 = 21 21 + 2 + 6k + -10k = 0 Combine like terms: 21 + 2 = 23 23 + 6k + -10k = 0 Combine like terms: 6k + -10k = -4k 23 + -4k = 0 Solving 23 + -4k = 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 + -4k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4k = 0 + -23 -4k = 0 + -23 Combine like terms: 0 + -23 = -23 -4k = -23 Divide each side by '-4'. k = 5.75 Simplifying k = 5.75
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