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Simplifying 3r + -17 + 7k = 83 Reorder the terms: -17 + 7k + 3r = 83 Solving -17 + 7k + 3r = 83 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 7k + 17 + 3r = 83 + 17 Reorder the terms: -17 + 17 + 7k + 3r = 83 + 17 Combine like terms: -17 + 17 = 0 0 + 7k + 3r = 83 + 17 7k + 3r = 83 + 17 Combine like terms: 83 + 17 = 100 7k + 3r = 100 Add '-3r' to each side of the equation. 7k + 3r + -3r = 100 + -3r Combine like terms: 3r + -3r = 0 7k + 0 = 100 + -3r 7k = 100 + -3r Divide each side by '7'. k = 14.28571429 + -0.4285714286r Simplifying k = 14.28571429 + -0.4285714286r
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