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Simplifying 8k + -1(3k + -16) = 0 Reorder the terms: 8k + -1(-16 + 3k) = 0 8k + (-16 * -1 + 3k * -1) = 0 8k + (16 + -3k) = 0 Reorder the terms: 16 + 8k + -3k = 0 Combine like terms: 8k + -3k = 5k 16 + 5k = 0 Solving 16 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5k = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5k = 0 + -16 5k = 0 + -16 Combine like terms: 0 + -16 = -16 5k = -16 Divide each side by '5'. k = -3.2 Simplifying k = -3.2
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