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Simplifying k + 5 = -2 + 2k Reorder the terms: 5 + k = -2 + 2k Solving 5 + k = -2 + 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. 5 + k + -2k = -2 + 2k + -2k Combine like terms: k + -2k = -1k 5 + -1k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + -1k = -2 + 0 5 + -1k = -2 Add '-5' to each side of the equation. 5 + -5 + -1k = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = -2 + -5 -1k = -2 + -5 Combine like terms: -2 + -5 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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