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Simplifying 8k + -1(6k + -15) = 0 Reorder the terms: 8k + -1(-15 + 6k) = 0 8k + (-15 * -1 + 6k * -1) = 0 8k + (15 + -6k) = 0 Reorder the terms: 15 + 8k + -6k = 0 Combine like terms: 8k + -6k = 2k 15 + 2k = 0 Solving 15 + 2k = 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 + 2k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2k = 0 + -15 2k = 0 + -15 Combine like terms: 0 + -15 = -15 2k = -15 Divide each side by '2'. k = -7.5 Simplifying k = -7.5
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