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Simplifying 12r + 5s + -7t + 11r + -9s + -4r = 0 Reorder the terms: 12r + 11r + -4r + 5s + -9s + -7t = 0 Combine like terms: 12r + 11r = 23r 23r + -4r + 5s + -9s + -7t = 0 Combine like terms: 23r + -4r = 19r 19r + 5s + -9s + -7t = 0 Combine like terms: 5s + -9s = -4s 19r + -4s + -7t = 0 Solving 19r + -4s + -7t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4s' to each side of the equation. 19r + -4s + 4s + -7t = 0 + 4s Combine like terms: -4s + 4s = 0 19r + 0 + -7t = 0 + 4s 19r + -7t = 0 + 4s Remove the zero: 19r + -7t = 4s Add '7t' to each side of the equation. 19r + -7t + 7t = 4s + 7t Combine like terms: -7t + 7t = 0 19r + 0 = 4s + 7t 19r = 4s + 7t Divide each side by '19'. r = 0.2105263158s + 0.3684210526t Simplifying r = 0.2105263158s + 0.3684210526t
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