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Simplifying 7k + -8 + 2k + 24(k + 12) = 52 Reorder the terms: 7k + -8 + 2k + 24(12 + k) = 52 7k + -8 + 2k + (12 * 24 + k * 24) = 52 7k + -8 + 2k + (288 + 24k) = 52 Reorder the terms: -8 + 288 + 7k + 2k + 24k = 52 Combine like terms: -8 + 288 = 280 280 + 7k + 2k + 24k = 52 Combine like terms: 7k + 2k = 9k 280 + 9k + 24k = 52 Combine like terms: 9k + 24k = 33k 280 + 33k = 52 Solving 280 + 33k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -280 + 33k = 52 + -280 Combine like terms: 280 + -280 = 0 0 + 33k = 52 + -280 33k = 52 + -280 Combine like terms: 52 + -280 = -228 33k = -228 Divide each side by '33'. k = -6.909090909 Simplifying k = -6.909090909
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