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Simplifying -2k + 3k + -10 + 5k = 0 Reorder the terms: -10 + -2k + 3k + 5k = 0 Combine like terms: -2k + 3k = 1k -10 + 1k + 5k = 0 Combine like terms: 1k + 5k = 6k -10 + 6k = 0 Solving -10 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6k = 0 + 10 6k = 0 + 10 Combine like terms: 0 + 10 = 10 6k = 10 Divide each side by '6'. k = 1.666666667 Simplifying k = 1.666666667
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