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Simplifying 3k + -4 + k + 8 + -2k + -1 = 0 Reorder the terms: -4 + 8 + -1 + 3k + k + -2k = 0 Combine like terms: -4 + 8 = 4 4 + -1 + 3k + k + -2k = 0 Combine like terms: 4 + -1 = 3 3 + 3k + k + -2k = 0 Combine like terms: 3k + k = 4k 3 + 4k + -2k = 0 Combine like terms: 4k + -2k = 2k 3 + 2k = 0 Solving 3 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = 0 + -3 2k = 0 + -3 Combine like terms: 0 + -3 = -3 2k = -3 Divide each side by '2'. k = -1.5 Simplifying k = -1.5
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