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Simplifying 4r + 3s + 5t + 8s + 3r = 0 Reorder the terms: 4r + 3r + 3s + 8s + 5t = 0 Combine like terms: 4r + 3r = 7r 7r + 3s + 8s + 5t = 0 Combine like terms: 3s + 8s = 11s 7r + 11s + 5t = 0 Solving 7r + 11s + 5t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11s' to each side of the equation. 7r + 11s + -11s + 5t = 0 + -11s Combine like terms: 11s + -11s = 0 7r + 0 + 5t = 0 + -11s 7r + 5t = 0 + -11s Remove the zero: 7r + 5t = -11s Add '-5t' to each side of the equation. 7r + 5t + -5t = -11s + -5t Combine like terms: 5t + -5t = 0 7r + 0 = -11s + -5t 7r = -11s + -5t Divide each side by '7'. r = -1.571428571s + -0.7142857143t Simplifying r = -1.571428571s + -0.7142857143t
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