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Simplifying 7k + 1 = 28 + -2k Reorder the terms: 1 + 7k = 28 + -2k Solving 1 + 7k = 28 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 1 + 7k + 2k = 28 + -2k + 2k Combine like terms: 7k + 2k = 9k 1 + 9k = 28 + -2k + 2k Combine like terms: -2k + 2k = 0 1 + 9k = 28 + 0 1 + 9k = 28 Add '-1' to each side of the equation. 1 + -1 + 9k = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 9k = 28 + -1 9k = 28 + -1 Combine like terms: 28 + -1 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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