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Simplifying 5(4 + k) = 8k (4 * 5 + k * 5) = 8k (20 + 5k) = 8k Solving 20 + 5k = 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 20 + 5k + -8k = 8k + -8k Combine like terms: 5k + -8k = -3k 20 + -3k = 8k + -8k Combine like terms: 8k + -8k = 0 20 + -3k = 0 Add '-20' to each side of the equation. 20 + -20 + -3k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3k = 0 + -20 -3k = 0 + -20 Combine like terms: 0 + -20 = -20 -3k = -20 Divide each side by '-3'. k = 6.666666667 Simplifying k = 6.666666667
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