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Simplifying 2k + -5 + 3 = k + 1 + -6 Reorder the terms: -5 + 3 + 2k = k + 1 + -6 Combine like terms: -5 + 3 = -2 -2 + 2k = k + 1 + -6 Reorder the terms: -2 + 2k = 1 + -6 + k Combine like terms: 1 + -6 = -5 -2 + 2k = -5 + k Solving -2 + 2k = -5 + 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. -2 + 2k + -1k = -5 + k + -1k Combine like terms: 2k + -1k = 1k -2 + 1k = -5 + k + -1k Combine like terms: k + -1k = 0 -2 + 1k = -5 + 0 -2 + 1k = -5 Add '2' to each side of the equation. -2 + 2 + 1k = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = -5 + 2 1k = -5 + 2 Combine like terms: -5 + 2 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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