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Simplifying 8(5 + 5k) = -160 (5 * 8 + 5k * 8) = -160 (40 + 40k) = -160 Solving 40 + 40k = -160 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 40k = -160 + -40 Combine like terms: 40 + -40 = 0 0 + 40k = -160 + -40 40k = -160 + -40 Combine like terms: -160 + -40 = -200 40k = -200 Divide each side by '40'. k = -5 Simplifying k = -5
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