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