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Simplifying 7k + 14 = 5k + 8 Reorder the terms: 14 + 7k = 5k + 8 Reorder the terms: 14 + 7k = 8 + 5k Solving 14 + 7k = 8 + 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. 14 + 7k + -5k = 8 + 5k + -5k Combine like terms: 7k + -5k = 2k 14 + 2k = 8 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + 2k = 8 + 0 14 + 2k = 8 Add '-14' to each side of the equation. 14 + -14 + 2k = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 8 + -14 2k = 8 + -14 Combine like terms: 8 + -14 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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