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Simplifying (4k + 5)(5 + 7) = 0 Reorder the terms: (5 + 4k)(5 + 7) = 0 Combine like terms: 5 + 7 = 12 (5 + 4k)(12) = 0 Reorder the terms for easier multiplication: 12(5 + 4k) = 0 (5 * 12 + 4k * 12) = 0 (60 + 48k) = 0 Solving 60 + 48k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 48k = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 48k = 0 + -60 48k = 0 + -60 Combine like terms: 0 + -60 = -60 48k = -60 Divide each side by '48'. k = -1.25 Simplifying k = -1.25
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