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Simplifying 4r + 5t + 7r + -2t = 0 Reorder the terms: 4r + 7r + 5t + -2t = 0 Combine like terms: 4r + 7r = 11r 11r + 5t + -2t = 0 Combine like terms: 5t + -2t = 3t 11r + 3t = 0 Solving 11r + 3t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3t' to each side of the equation. 11r + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 11r + 0 = 0 + -3t 11r = 0 + -3t Remove the zero: 11r = -3t Divide each side by '11'. r = -0.2727272727t Simplifying r = -0.2727272727t
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