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Simplifying 5k + -1(2k + -6) = 0 Reorder the terms: 5k + -1(-6 + 2k) = 0 5k + (-6 * -1 + 2k * -1) = 0 5k + (6 + -2k) = 0 Reorder the terms: 6 + 5k + -2k = 0 Combine like terms: 5k + -2k = 3k 6 + 3k = 0 Solving 6 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3k = 0 + -6 3k = 0 + -6 Combine like terms: 0 + -6 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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