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