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Simplifying -24 = -8(k + -86) Reorder the terms: -24 = -8(-86 + k) -24 = (-86 * -8 + k * -8) -24 = (688 + -8k) Solving -24 = 688 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -24 + 8k = 688 + -8k + 8k Combine like terms: -8k + 8k = 0 -24 + 8k = 688 + 0 -24 + 8k = 688 Add '24' to each side of the equation. -24 + 24 + 8k = 688 + 24 Combine like terms: -24 + 24 = 0 0 + 8k = 688 + 24 8k = 688 + 24 Combine like terms: 688 + 24 = 712 8k = 712 Divide each side by '8'. k = 89 Simplifying k = 89
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