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Simplifying 12(5k + 3 + -1k) = 0 Reorder the terms: 12(3 + 5k + -1k) = 0 Combine like terms: 5k + -1k = 4k 12(3 + 4k) = 0 (3 * 12 + 4k * 12) = 0 (36 + 48k) = 0 Solving 36 + 48k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 48k = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 48k = 0 + -36 48k = 0 + -36 Combine like terms: 0 + -36 = -36 48k = -36 Divide each side by '48'. k = -0.75 Simplifying k = -0.75
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