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