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Simplifying -8(2 + -1k) = -56 (2 * -8 + -1k * -8) = -56 (-16 + 8k) = -56 Solving -16 + 8k = -56 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 = -56 + 16 Combine like terms: -16 + 16 = 0 0 + 8k = -56 + 16 8k = -56 + 16 Combine like terms: -56 + 16 = -40 8k = -40 Divide each side by '8'. k = -5 Simplifying k = -5
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