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Simplifying 2k + 1 = 3k + -4 Reorder the terms: 1 + 2k = 3k + -4 Reorder the terms: 1 + 2k = -4 + 3k Solving 1 + 2k = -4 + 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. 1 + 2k + -3k = -4 + 3k + -3k Combine like terms: 2k + -3k = -1k 1 + -1k = -4 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + -1k = -4 + 0 1 + -1k = -4 Add '-1' to each side of the equation. 1 + -1 + -1k = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = -4 + -1 -1k = -4 + -1 Combine like terms: -4 + -1 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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