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Simplifying k + 4 = -5 + -2k Reorder the terms: 4 + k = -5 + -2k Solving 4 + k = -5 + -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. 4 + k + 2k = -5 + -2k + 2k Combine like terms: k + 2k = 3k 4 + 3k = -5 + -2k + 2k Combine like terms: -2k + 2k = 0 4 + 3k = -5 + 0 4 + 3k = -5 Add '-4' to each side of the equation. 4 + -4 + 3k = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = -5 + -4 3k = -5 + -4 Combine like terms: -5 + -4 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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