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Simplifying 5k + -1(3k + -10) = 0 Reorder the terms: 5k + -1(-10 + 3k) = 0 5k + (-10 * -1 + 3k * -1) = 0 5k + (10 + -3k) = 0 Reorder the terms: 10 + 5k + -3k = 0 Combine like terms: 5k + -3k = 2k 10 + 2k = 0 Solving 10 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = 0 + -10 2k = 0 + -10 Combine like terms: 0 + -10 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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