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Simplifying 5k + 3k + 13 = 6 + 7k Reorder the terms: 13 + 5k + 3k = 6 + 7k Combine like terms: 5k + 3k = 8k 13 + 8k = 6 + 7k Solving 13 + 8k = 6 + 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. 13 + 8k + -7k = 6 + 7k + -7k Combine like terms: 8k + -7k = 1k 13 + 1k = 6 + 7k + -7k Combine like terms: 7k + -7k = 0 13 + 1k = 6 + 0 13 + 1k = 6 Add '-13' to each side of the equation. 13 + -13 + 1k = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1k = 6 + -13 1k = 6 + -13 Combine like terms: 6 + -13 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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