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Simplifying 4(2k + 3) + 3(4k + 7) = 0 Reorder the terms: 4(3 + 2k) + 3(4k + 7) = 0 (3 * 4 + 2k * 4) + 3(4k + 7) = 0 (12 + 8k) + 3(4k + 7) = 0 Reorder the terms: 12 + 8k + 3(7 + 4k) = 0 12 + 8k + (7 * 3 + 4k * 3) = 0 12 + 8k + (21 + 12k) = 0 Reorder the terms: 12 + 21 + 8k + 12k = 0 Combine like terms: 12 + 21 = 33 33 + 8k + 12k = 0 Combine like terms: 8k + 12k = 20k 33 + 20k = 0 Solving 33 + 20k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 20k = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 20k = 0 + -33 20k = 0 + -33 Combine like terms: 0 + -33 = -33 20k = -33 Divide each side by '20'. k = -1.65 Simplifying k = -1.65
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