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Simplifying 5k + -1(2k + -5) = 0 Reorder the terms: 5k + -1(-5 + 2k) = 0 5k + (-5 * -1 + 2k * -1) = 0 5k + (5 + -2k) = 0 Reorder the terms: 5 + 5k + -2k = 0 Combine like terms: 5k + -2k = 3k 5 + 3k = 0 Solving 5 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667
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