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Simplifying 2(4 + 2k) = 0 (4 * 2 + 2k * 2) = 0 (8 + 4k) = 0 Solving 8 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4k = 0 + -8 4k = 0 + -8 Combine like terms: 0 + -8 = -8 4k = -8 Divide each side by '4'. k = -2 Simplifying k = -2
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