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Simplifying 14 + 7k = 6 + 5k Solving 14 + 7k = 6 + 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 = 6 + 5k + -5k Combine like terms: 7k + -5k = 2k 14 + 2k = 6 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + 2k = 6 + 0 14 + 2k = 6 Add '-14' to each side of the equation. 14 + -14 + 2k = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 6 + -14 2k = 6 + -14 Combine like terms: 6 + -14 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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