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Simplifying 5(4 + -1k) = -10k (4 * 5 + -1k * 5) = -10k (20 + -5k) = -10k Solving 20 + -5k = -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 20 + -5k + 10k = -10k + 10k Combine like terms: -5k + 10k = 5k 20 + 5k = -10k + 10k Combine like terms: -10k + 10k = 0 20 + 5k = 0 Add '-20' to each side of the equation. 20 + -20 + 5k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5k = 0 + -20 5k = 0 + -20 Combine like terms: 0 + -20 = -20 5k = -20 Divide each side by '5'. k = -4 Simplifying k = -4
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