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Simplifying -8(-2 + -1k) = 32 (-2 * -8 + -1k * -8) = 32 (16 + 8k) = 32 Solving 16 + 8k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8k = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 8k = 32 + -16 8k = 32 + -16 Combine like terms: 32 + -16 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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