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Simplifying 17 + 10r + 12k + -5r + -5k + -7 = 0 Reorder the terms: 17 + -7 + 12k + -5k + 10r + -5r = 0 Combine like terms: 17 + -7 = 10 10 + 12k + -5k + 10r + -5r = 0 Combine like terms: 12k + -5k = 7k 10 + 7k + 10r + -5r = 0 Combine like terms: 10r + -5r = 5r 10 + 7k + 5r = 0 Solving 10 + 7k + 5r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7k + -10 + 5r = 0 + -10 Reorder the terms: 10 + -10 + 7k + 5r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7k + 5r = 0 + -10 7k + 5r = 0 + -10 Combine like terms: 0 + -10 = -10 7k + 5r = -10 Add '-5r' to each side of the equation. 7k + 5r + -5r = -10 + -5r Combine like terms: 5r + -5r = 0 7k + 0 = -10 + -5r 7k = -10 + -5r Divide each side by '7'. k = -1.428571429 + -0.7142857143r Simplifying k = -1.428571429 + -0.7142857143r
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