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Simplifying 2k + -1 = (k + 1) + -3 Reorder the terms: -1 + 2k = (k + 1) + -3 Reorder the terms: -1 + 2k = (1 + k) + -3 Remove parenthesis around (1 + k) -1 + 2k = 1 + k + -3 Reorder the terms: -1 + 2k = 1 + -3 + k Combine like terms: 1 + -3 = -2 -1 + 2k = -2 + k Solving -1 + 2k = -2 + 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 + 2k + -1k = -2 + k + -1k Combine like terms: 2k + -1k = 1k -1 + 1k = -2 + k + -1k Combine like terms: k + -1k = 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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