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Simplifying 6k + k + 4 = 8k + 1 Reorder the terms: 4 + 6k + k = 8k + 1 Combine like terms: 6k + k = 7k 4 + 7k = 8k + 1 Reorder the terms: 4 + 7k = 1 + 8k Solving 4 + 7k = 1 + 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. 4 + 7k + -8k = 1 + 8k + -8k Combine like terms: 7k + -8k = -1k 4 + -1k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + -1k = 1 + 0 4 + -1k = 1 Add '-4' to each side of the equation. 4 + -4 + -1k = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 1 + -4 -1k = 1 + -4 Combine like terms: 1 + -4 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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