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Simplifying 15k + -7k + -5k + 1 = 13 Reorder the terms: 1 + 15k + -7k + -5k = 13 Combine like terms: 15k + -7k = 8k 1 + 8k + -5k = 13 Combine like terms: 8k + -5k = 3k 1 + 3k = 13 Solving 1 + 3k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. 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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