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