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Simplifying 7 + 9r + 10k + -5r + -3k + -24 = 0 Reorder the terms: 7 + -24 + 10k + -3k + 9r + -5r = 0 Combine like terms: 7 + -24 = -17 -17 + 10k + -3k + 9r + -5r = 0 Combine like terms: 10k + -3k = 7k -17 + 7k + 9r + -5r = 0 Combine like terms: 9r + -5r = 4r -17 + 7k + 4r = 0 Solving -17 + 7k + 4r = 0 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 + 4r = 0 + 17 Reorder the terms: -17 + 17 + 7k + 4r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7k + 4r = 0 + 17 7k + 4r = 0 + 17 Combine like terms: 0 + 17 = 17 7k + 4r = 17 Add '-4r' to each side of the equation. 7k + 4r + -4r = 17 + -4r Combine like terms: 4r + -4r = 0 7k + 0 = 17 + -4r 7k = 17 + -4r Divide each side by '7'. k = 2.428571429 + -0.5714285714r Simplifying k = 2.428571429 + -0.5714285714r
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