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Simplifying 27 + 9k = 8(5k + -2) Reorder the terms: 27 + 9k = 8(-2 + 5k) 27 + 9k = (-2 * 8 + 5k * 8) 27 + 9k = (-16 + 40k) Solving 27 + 9k = -16 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 27 + 9k + -40k = -16 + 40k + -40k Combine like terms: 9k + -40k = -31k 27 + -31k = -16 + 40k + -40k Combine like terms: 40k + -40k = 0 27 + -31k = -16 + 0 27 + -31k = -16 Add '-27' to each side of the equation. 27 + -27 + -31k = -16 + -27 Combine like terms: 27 + -27 = 0 0 + -31k = -16 + -27 -31k = -16 + -27 Combine like terms: -16 + -27 = -43 -31k = -43 Divide each side by '-31'. k = 1.387096774 Simplifying k = 1.387096774
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