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Simplifying 5(2k + 4) = 5(3k + -1) Reorder the terms: 5(4 + 2k) = 5(3k + -1) (4 * 5 + 2k * 5) = 5(3k + -1) (20 + 10k) = 5(3k + -1) Reorder the terms: 20 + 10k = 5(-1 + 3k) 20 + 10k = (-1 * 5 + 3k * 5) 20 + 10k = (-5 + 15k) Solving 20 + 10k = -5 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 20 + 10k + -15k = -5 + 15k + -15k Combine like terms: 10k + -15k = -5k 20 + -5k = -5 + 15k + -15k Combine like terms: 15k + -15k = 0 20 + -5k = -5 + 0 20 + -5k = -5 Add '-20' to each side of the equation. 20 + -20 + -5k = -5 + -20 Combine like terms: 20 + -20 = 0 0 + -5k = -5 + -20 -5k = -5 + -20 Combine like terms: -5 + -20 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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