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Simplifying 5k + -1(3k + -7) = 0 Reorder the terms: 5k + -1(-7 + 3k) = 0 5k + (-7 * -1 + 3k * -1) = 0 5k + (7 + -3k) = 0 Reorder the terms: 7 + 5k + -3k = 0 Combine like terms: 5k + -3k = 2k 7 + 2k = 0 Solving 7 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 0 + -7 2k = 0 + -7 Combine like terms: 0 + -7 = -7 2k = -7 Divide each side by '2'. k = -3.5 Simplifying k = -3.5
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