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