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Simplifying 4k + 3(2k + 5) = 0 Reorder the terms: 4k + 3(5 + 2k) = 0 4k + (5 * 3 + 2k * 3) = 0 4k + (15 + 6k) = 0 Reorder the terms: 15 + 4k + 6k = 0 Combine like terms: 4k + 6k = 10k 15 + 10k = 0 Solving 15 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10k = 0 + -15 10k = 0 + -15 Combine like terms: 0 + -15 = -15 10k = -15 Divide each side by '10'. k = -1.5 Simplifying k = -1.5
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