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Simplifying 8(7 + -1k) = -24 (7 * 8 + -1k * 8) = -24 (56 + -8k) = -24 Solving 56 + -8k = -24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -8k = -24 + -56 Combine like terms: 56 + -56 = 0 0 + -8k = -24 + -56 -8k = -24 + -56 Combine like terms: -24 + -56 = -80 -8k = -80 Divide each side by '-8'. k = 10 Simplifying k = 10
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