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Simplifying 4k + -1(2k + -4) = 0 Reorder the terms: 4k + -1(-4 + 2k) = 0 4k + (-4 * -1 + 2k * -1) = 0 4k + (4 + -2k) = 0 Reorder the terms: 4 + 4k + -2k = 0 Combine like terms: 4k + -2k = 2k 4 + 2k = 0 Solving 4 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 0 + -4 2k = 0 + -4 Combine like terms: 0 + -4 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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