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Simplifying 3k + 8 = 1k + 20 Reorder the terms: 8 + 3k = 1k + 20 Reorder the terms: 8 + 3k = 20 + 1k Solving 8 + 3k = 20 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8 + 3k + -1k = 20 + 1k + -1k Combine like terms: 3k + -1k = 2k 8 + 2k = 20 + 1k + -1k Combine like terms: 1k + -1k = 0 8 + 2k = 20 + 0 8 + 2k = 20 Add '-8' to each side of the equation. 8 + -8 + 2k = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2k = 20 + -8 2k = 20 + -8 Combine like terms: 20 + -8 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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