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Simplifying 7k + 5 = 3k + 13 Reorder the terms: 5 + 7k = 3k + 13 Reorder the terms: 5 + 7k = 13 + 3k Solving 5 + 7k = 13 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 5 + 7k + -3k = 13 + 3k + -3k Combine like terms: 7k + -3k = 4k 5 + 4k = 13 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 4k = 13 + 0 5 + 4k = 13 Add '-5' to each side of the equation. 5 + -5 + 4k = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 13 + -5 4k = 13 + -5 Combine like terms: 13 + -5 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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