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Simplifying 8(8 + -1k) = -72k (8 * 8 + -1k * 8) = -72k (64 + -8k) = -72k Solving 64 + -8k = -72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '72k' to each side of the equation. 64 + -8k + 72k = -72k + 72k Combine like terms: -8k + 72k = 64k 64 + 64k = -72k + 72k Combine like terms: -72k + 72k = 0 64 + 64k = 0 Add '-64' to each side of the equation. 64 + -64 + 64k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 64k = 0 + -64 64k = 0 + -64 Combine like terms: 0 + -64 = -64 64k = -64 Divide each side by '64'. k = -1 Simplifying k = -1
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