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Simplifying -96 = -8(k + 7) Reorder the terms: -96 = -8(7 + k) -96 = (7 * -8 + k * -8) -96 = (-56 + -8k) Solving -96 = -56 + -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. -96 + 8k = -56 + -8k + 8k Combine like terms: -8k + 8k = 0 -96 + 8k = -56 + 0 -96 + 8k = -56 Add '96' to each side of the equation. -96 + 96 + 8k = -56 + 96 Combine like terms: -96 + 96 = 0 0 + 8k = -56 + 96 8k = -56 + 96 Combine like terms: -56 + 96 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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