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Simplifying 5(4 + -1k) = -105k (4 * 5 + -1k * 5) = -105k (20 + -5k) = -105k Solving 20 + -5k = -105k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '105k' to each side of the equation. 20 + -5k + 105k = -105k + 105k Combine like terms: -5k + 105k = 100k 20 + 100k = -105k + 105k Combine like terms: -105k + 105k = 0 20 + 100k = 0 Add '-20' to each side of the equation. 20 + -20 + 100k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 100k = 0 + -20 100k = 0 + -20 Combine like terms: 0 + -20 = -20 100k = -20 Divide each side by '100'. k = -0.2 Simplifying k = -0.2
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