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Simplifying 8(8 + -1k) = 27k (8 * 8 + -1k * 8) = 27k (64 + -8k) = 27k Solving 64 + -8k = 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. 64 + -8k + -27k = 27k + -27k Combine like terms: -8k + -27k = -35k 64 + -35k = 27k + -27k Combine like terms: 27k + -27k = 0 64 + -35k = 0 Add '-64' to each side of the equation. 64 + -64 + -35k = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -35k = 0 + -64 -35k = 0 + -64 Combine like terms: 0 + -64 = -64 -35k = -64 Divide each side by '-35'. k = 1.828571429 Simplifying k = 1.828571429
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