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Simplifying 3k + 2(10 + 8k) = 0 3k + (10 * 2 + 8k * 2) = 0 3k + (20 + 16k) = 0 Reorder the terms: 20 + 3k + 16k = 0 Combine like terms: 3k + 16k = 19k 20 + 19k = 0 Solving 20 + 19k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 19k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 19k = 0 + -20 19k = 0 + -20 Combine like terms: 0 + -20 = -20 19k = -20 Divide each side by '19'. k = -1.052631579 Simplifying k = -1.052631579
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