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Simplifying 5k + 2 + k + 3 + 2k = 0 Reorder the terms: 2 + 3 + 5k + k + 2k = 0 Combine like terms: 2 + 3 = 5 5 + 5k + k + 2k = 0 Combine like terms: 5k + k = 6k 5 + 6k + 2k = 0 Combine like terms: 6k + 2k = 8k 5 + 8k = 0 Solving 5 + 8k = 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 + 8k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8k = 0 + -5 8k = 0 + -5 Combine like terms: 0 + -5 = -5 8k = -5 Divide each side by '8'. k = -0.625 Simplifying k = -0.625
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