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Simplifying 2k + 4 = 3k + -2 Reorder the terms: 4 + 2k = 3k + -2 Reorder the terms: 4 + 2k = -2 + 3k Solving 4 + 2k = -2 + 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. 4 + 2k + -3k = -2 + 3k + -3k Combine like terms: 2k + -3k = -1k 4 + -1k = -2 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + -1k = -2 + 0 4 + -1k = -2 Add '-4' to each side of the equation. 4 + -4 + -1k = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = -2 + -4 -1k = -2 + -4 Combine like terms: -2 + -4 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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