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Simplifying -83 = 6k + 17 + k Reorder the terms: -83 = 17 + 6k + k Combine like terms: 6k + k = 7k -83 = 17 + 7k Solving -83 = 17 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -83 + -7k = 17 + 7k + -7k Combine like terms: 7k + -7k = 0 -83 + -7k = 17 + 0 -83 + -7k = 17 Add '83' to each side of the equation. -83 + 83 + -7k = 17 + 83 Combine like terms: -83 + 83 = 0 0 + -7k = 17 + 83 -7k = 17 + 83 Combine like terms: 17 + 83 = 100 -7k = 100 Divide each side by '-7'. k = -14.28571429 Simplifying k = -14.28571429
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