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Simplifying 5k + -1(2k + -8) = 0 Reorder the terms: 5k + -1(-8 + 2k) = 0 5k + (-8 * -1 + 2k * -1) = 0 5k + (8 + -2k) = 0 Reorder the terms: 8 + 5k + -2k = 0 Combine like terms: 5k + -2k = 3k 8 + 3k = 0 Solving 8 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 0 + -8 3k = 0 + -8 Combine like terms: 0 + -8 = -8 3k = -8 Divide each side by '3'. k = -2.666666667 Simplifying k = -2.666666667
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