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Simplifying 7k + 1 = 13 + 4k Reorder the terms: 1 + 7k = 13 + 4k Solving 1 + 7k = 13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 1 + 7k + -4k = 13 + 4k + -4k Combine like terms: 7k + -4k = 3k 1 + 3k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + 3k = 13 + 0 1 + 3k = 13 Add '-1' to each side of the equation. 1 + -1 + 3k = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 3k = 13 + -1 3k = 13 + -1 Combine like terms: 13 + -1 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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