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Simplifying 24 + 7k = 180 + -1k + 108 Reorder the terms: 24 + 7k = 180 + 108 + -1k Combine like terms: 180 + 108 = 288 24 + 7k = 288 + -1k Solving 24 + 7k = 288 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 24 + 7k + k = 288 + -1k + k Combine like terms: 7k + k = 8k 24 + 8k = 288 + -1k + k Combine like terms: -1k + k = 0 24 + 8k = 288 + 0 24 + 8k = 288 Add '-24' to each side of the equation. 24 + -24 + 8k = 288 + -24 Combine like terms: 24 + -24 = 0 0 + 8k = 288 + -24 8k = 288 + -24 Combine like terms: 288 + -24 = 264 8k = 264 Divide each side by '8'. k = 33 Simplifying k = 33
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