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Simplifying -5 + 7 + 2k + -3k = -8k Combine like terms: -5 + 7 = 2 2 + 2k + -3k = -8k Combine like terms: 2k + -3k = -1k 2 + -1k = -8k Solving 2 + -1k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 2 + -1k + 8k = -8k + 8k Combine like terms: -1k + 8k = 7k 2 + 7k = -8k + 8k Combine like terms: -8k + 8k = 0 2 + 7k = 0 Add '-2' to each side of the equation. 2 + -2 + 7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 0 + -2 7k = 0 + -2 Combine like terms: 0 + -2 = -2 7k = -2 Divide each side by '7'. k = -0.2857142857 Simplifying k = -0.2857142857
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