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Simplifying 3r + 2s + 9t + 4r + -5s + t = 0 Reorder the terms: 3r + 4r + 2s + -5s + 9t + t = 0 Combine like terms: 3r + 4r = 7r 7r + 2s + -5s + 9t + t = 0 Combine like terms: 2s + -5s = -3s 7r + -3s + 9t + t = 0 Combine like terms: 9t + t = 10t 7r + -3s + 10t = 0 Solving 7r + -3s + 10t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. 7r + -3s + 3s + 10t = 0 + 3s Combine like terms: -3s + 3s = 0 7r + 0 + 10t = 0 + 3s 7r + 10t = 0 + 3s Remove the zero: 7r + 10t = 3s Add '-10t' to each side of the equation. 7r + 10t + -10t = 3s + -10t Combine like terms: 10t + -10t = 0 7r + 0 = 3s + -10t 7r = 3s + -10t Divide each side by '7'. r = 0.4285714286s + -1.428571429t Simplifying r = 0.4285714286s + -1.428571429t
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