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Simplifying 1 + -7k = -8k + 9 Reorder the terms: 1 + -7k = 9 + -8k Solving 1 + -7k = 9 + -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. 1 + -7k + 8k = 9 + -8k + 8k Combine like terms: -7k + 8k = 1k 1 + 1k = 9 + -8k + 8k Combine like terms: -8k + 8k = 0 1 + 1k = 9 + 0 1 + 1k = 9 Add '-1' to each side of the equation. 1 + -1 + 1k = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = 9 + -1 1k = 9 + -1 Combine like terms: 9 + -1 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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