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Simplifying 7k + -8 + 2(k + 12) = 58 Reorder the terms: 7k + -8 + 2(12 + k) = 58 7k + -8 + (12 * 2 + k * 2) = 58 7k + -8 + (24 + 2k) = 58 Reorder the terms: -8 + 24 + 7k + 2k = 58 Combine like terms: -8 + 24 = 16 16 + 7k + 2k = 58 Combine like terms: 7k + 2k = 9k 16 + 9k = 58 Solving 16 + 9k = 58 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9k = 58 + -16 Combine like terms: 16 + -16 = 0 0 + 9k = 58 + -16 9k = 58 + -16 Combine like terms: 58 + -16 = 42 9k = 42 Divide each side by '9'. k = 4.666666667 Simplifying k = 4.666666667
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