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Simplifying -9r + 3t + -8s + -1r + 12s + t + -1t + 5s + -11r = 0 Reorder the terms: -9r + -1r + -11r + -8s + 12s + 5s + 3t + t + -1t = 0 Combine like terms: -9r + -1r = -10r -10r + -11r + -8s + 12s + 5s + 3t + t + -1t = 0 Combine like terms: -10r + -11r = -21r -21r + -8s + 12s + 5s + 3t + t + -1t = 0 Combine like terms: -8s + 12s = 4s -21r + 4s + 5s + 3t + t + -1t = 0 Combine like terms: 4s + 5s = 9s -21r + 9s + 3t + t + -1t = 0 Combine like terms: 3t + t = 4t -21r + 9s + 4t + -1t = 0 Combine like terms: 4t + -1t = 3t -21r + 9s + 3t = 0 Solving -21r + 9s + 3t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. -21r + 9s + -9s + 3t = 0 + -9s Combine like terms: 9s + -9s = 0 -21r + 0 + 3t = 0 + -9s -21r + 3t = 0 + -9s Remove the zero: -21r + 3t = -9s Add '-3t' to each side of the equation. -21r + 3t + -3t = -9s + -3t Combine like terms: 3t + -3t = 0 -21r + 0 = -9s + -3t -21r = -9s + -3t Divide each side by '-21'. r = 0.4285714286s + 0.1428571429t Simplifying r = 0.4285714286s + 0.1428571429t
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