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Simplifying 8k + 2 = k + 13 Reorder the terms: 2 + 8k = k + 13 Reorder the terms: 2 + 8k = 13 + k Solving 2 + 8k = 13 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + 8k + -1k = 13 + k + -1k Combine like terms: 8k + -1k = 7k 2 + 7k = 13 + k + -1k Combine like terms: k + -1k = 0 2 + 7k = 13 + 0 2 + 7k = 13 Add '-2' to each side of the equation. 2 + -2 + 7k = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 13 + -2 7k = 13 + -2 Combine like terms: 13 + -2 = 11 7k = 11 Divide each side by '7'. k = 1.571428571 Simplifying k = 1.571428571
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