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Simplifying 7k + -8 = 5k + 14 Reorder the terms: -8 + 7k = 5k + 14 Reorder the terms: -8 + 7k = 14 + 5k Solving -8 + 7k = 14 + 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. -8 + 7k + -5k = 14 + 5k + -5k Combine like terms: 7k + -5k = 2k -8 + 2k = 14 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + 2k = 14 + 0 -8 + 2k = 14 Add '8' to each side of the equation. -8 + 8 + 2k = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = 14 + 8 2k = 14 + 8 Combine like terms: 14 + 8 = 22 2k = 22 Divide each side by '2'. k = 11 Simplifying k = 11
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