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Simplifying 8k + -4 + 6 = 7k + 1 Reorder the terms: -4 + 6 + 8k = 7k + 1 Combine like terms: -4 + 6 = 2 2 + 8k = 7k + 1 Reorder the terms: 2 + 8k = 1 + 7k Solving 2 + 8k = 1 + 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. 2 + 8k + -7k = 1 + 7k + -7k Combine like terms: 8k + -7k = 1k 2 + 1k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 2 + 1k = 1 + 0 2 + 1k = 1 Add '-2' to each side of the equation. 2 + -2 + 1k = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 1 + -2 1k = 1 + -2 Combine like terms: 1 + -2 = -1 1k = -1 Divide each side by '1'. k = -1 Simplifying k = -1
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