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