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Simplifying k + 1 + k + 4 = 0 Reorder the terms: 1 + 4 + k + k = 0 Combine like terms: 1 + 4 = 5 5 + k + k = 0 Combine like terms: k + k = 2k 5 + 2k = 0 Solving 5 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 0 + -5 2k = 0 + -5 Combine like terms: 0 + -5 = -5 2k = -5 Divide each side by '2'. k = -2.5 Simplifying k = -2.5
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