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