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Simplifying -96 = 8(k + -9) Reorder the terms: -96 = 8(-9 + k) -96 = (-9 * 8 + k * 8) -96 = (-72 + 8k) Solving -96 = -72 + 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 = -72 + 8k + -8k Combine like terms: 8k + -8k = 0 -96 + -8k = -72 + 0 -96 + -8k = -72 Add '96' to each side of the equation. -96 + 96 + -8k = -72 + 96 Combine like terms: -96 + 96 = 0 0 + -8k = -72 + 96 -8k = -72 + 96 Combine like terms: -72 + 96 = 24 -8k = 24 Divide each side by '-8'. k = -3 Simplifying k = -3
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