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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 = 14s 19r + 14s + -7t = 0 Solving 19r + 14s + -7t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14s' to each side of the equation. 19r + 14s + -14s + -7t = 0 + -14s Combine like terms: 14s + -14s = 0 19r + 0 + -7t = 0 + -14s 19r + -7t = 0 + -14s Remove the zero: 19r + -7t = -14s Add '7t' to each side of the equation. 19r + -7t + 7t = -14s + 7t Combine like terms: -7t + 7t = 0 19r + 0 = -14s + 7t 19r = -14s + 7t Divide each side by '19'. r = -0.7368421053s + 0.3684210526t Simplifying r = -0.7368421053s + 0.3684210526t
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