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Simplifying 7k + -8 + 2k + 12 = 52 Reorder the terms: -8 + 12 + 7k + 2k = 52 Combine like terms: -8 + 12 = 4 4 + 7k + 2k = 52 Combine like terms: 7k + 2k = 9k 4 + 9k = 52 Solving 4 + 9k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9k = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 9k = 52 + -4 9k = 52 + -4 Combine like terms: 52 + -4 = 48 9k = 48 Divide each side by '9'. k = 5.333333333 Simplifying k = 5.333333333
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