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Simplifying -2k + 3k + -8 + 2k = 0 Reorder the terms: -8 + -2k + 3k + 2k = 0 Combine like terms: -2k + 3k = 1k -8 + 1k + 2k = 0 Combine like terms: 1k + 2k = 3k -8 + 3k = 0 Solving -8 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3k = 0 + 8 3k = 0 + 8 Combine like terms: 0 + 8 = 8 3k = 8 Divide each side by '3'. k = 2.666666667 Simplifying k = 2.666666667
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