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Simplifying 5(4 + -1k) = 5 + 4k (4 * 5 + -1k * 5) = 5 + 4k (20 + -5k) = 5 + 4k Solving 20 + -5k = 5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 20 + -5k + -4k = 5 + 4k + -4k Combine like terms: -5k + -4k = -9k 20 + -9k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 20 + -9k = 5 + 0 20 + -9k = 5 Add '-20' to each side of the equation. 20 + -20 + -9k = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -9k = 5 + -20 -9k = 5 + -20 Combine like terms: 5 + -20 = -15 -9k = -15 Divide each side by '-9'. k = 1.666666667 Simplifying k = 1.666666667
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