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Simplifying -5 + 7k = 5k + 11 Reorder the terms: -5 + 7k = 11 + 5k Solving -5 + 7k = 11 + 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. -5 + 7k + -5k = 11 + 5k + -5k Combine like terms: 7k + -5k = 2k -5 + 2k = 11 + 5k + -5k Combine like terms: 5k + -5k = 0 -5 + 2k = 11 + 0 -5 + 2k = 11 Add '5' to each side of the equation. -5 + 5 + 2k = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 2k = 11 + 5 2k = 11 + 5 Combine like terms: 11 + 5 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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