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Simplifying 2k + 4k + -4k + 1 = 13 Reorder the terms: 1 + 2k + 4k + -4k = 13 Combine like terms: 2k + 4k = 6k 1 + 6k + -4k = 13 Combine like terms: 6k + -4k = 2k 1 + 2k = 13 Solving 1 + 2k = 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 + 2k = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 13 + -1 2k = 13 + -1 Combine like terms: 13 + -1 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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