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Simplifying 7k + 8 + 2(k + 12) = 52 Reorder the terms: 7k + 8 + 2(12 + k) = 52 7k + 8 + (12 * 2 + k * 2) = 52 7k + 8 + (24 + 2k) = 52 Reorder the terms: 8 + 24 + 7k + 2k = 52 Combine like terms: 8 + 24 = 32 32 + 7k + 2k = 52 Combine like terms: 7k + 2k = 9k 32 + 9k = 52 Solving 32 + 9k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 9k = 52 + -32 Combine like terms: 32 + -32 = 0 0 + 9k = 52 + -32 9k = 52 + -32 Combine like terms: 52 + -32 = 20 9k = 20 Divide each side by '9'. k = 2.222222222 Simplifying k = 2.222222222
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