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Simplifying 5k + 8 = 2k + 20 Reorder the terms: 8 + 5k = 2k + 20 Reorder the terms: 8 + 5k = 20 + 2k Solving 8 + 5k = 20 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 8 + 5k + -2k = 20 + 2k + -2k Combine like terms: 5k + -2k = 3k 8 + 3k = 20 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 3k = 20 + 0 8 + 3k = 20 Add '-8' to each side of the equation. 8 + -8 + 3k = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 20 + -8 3k = 20 + -8 Combine like terms: 20 + -8 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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