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Simplifying 3k + -1 + 7k = 10 + 1 + -1k + 8k Reorder the terms: -1 + 3k + 7k = 10 + 1 + -1k + 8k Combine like terms: 3k + 7k = 10k -1 + 10k = 10 + 1 + -1k + 8k Combine like terms: 10 + 1 = 11 -1 + 10k = 11 + -1k + 8k Combine like terms: -1k + 8k = 7k -1 + 10k = 11 + 7k Solving -1 + 10k = 11 + 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 + 10k + -7k = 11 + 7k + -7k Combine like terms: 10k + -7k = 3k -1 + 3k = 11 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + 3k = 11 + 0 -1 + 3k = 11 Add '1' to each side of the equation. -1 + 1 + 3k = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 3k = 11 + 1 3k = 11 + 1 Combine like terms: 11 + 1 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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