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Simplifying (32 + 2k) * 2 = 0 Reorder the terms for easier multiplication: 2(32 + 2k) = 0 (32 * 2 + 2k * 2) = 0 (64 + 4k) = 0 Solving 64 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 4k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 4k = 0 + -64 4k = 0 + -64 Combine like terms: 0 + -64 = -64 4k = -64 Divide each side by '4'. k = -16 Simplifying k = -16
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