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Simplifying 2k + 23 = -5k + 74 Reorder the terms: 23 + 2k = -5k + 74 Reorder the terms: 23 + 2k = 74 + -5k Solving 23 + 2k = 74 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 23 + 2k + 5k = 74 + -5k + 5k Combine like terms: 2k + 5k = 7k 23 + 7k = 74 + -5k + 5k Combine like terms: -5k + 5k = 0 23 + 7k = 74 + 0 23 + 7k = 74 Add '-23' to each side of the equation. 23 + -23 + 7k = 74 + -23 Combine like terms: 23 + -23 = 0 0 + 7k = 74 + -23 7k = 74 + -23 Combine like terms: 74 + -23 = 51 7k = 51 Divide each side by '7'. k = 7.285714286 Simplifying k = 7.285714286
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