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Simplifying 5 + 10r + 9k + -4r + -2k + -15 = 0 Reorder the terms: 5 + -15 + 9k + -2k + 10r + -4r = 0 Combine like terms: 5 + -15 = -10 -10 + 9k + -2k + 10r + -4r = 0 Combine like terms: 9k + -2k = 7k -10 + 7k + 10r + -4r = 0 Combine like terms: 10r + -4r = 6r -10 + 7k + 6r = 0 Solving -10 + 7k + 6r = 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 + 6r = 0 + 10 Reorder the terms: -10 + 10 + 7k + 6r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7k + 6r = 0 + 10 7k + 6r = 0 + 10 Combine like terms: 0 + 10 = 10 7k + 6r = 10 Add '-6r' to each side of the equation. 7k + 6r + -6r = 10 + -6r Combine like terms: 6r + -6r = 0 7k + 0 = 10 + -6r 7k = 10 + -6r Divide each side by '7'. k = 1.428571429 + -0.8571428571r Simplifying k = 1.428571429 + -0.8571428571r
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