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Simplifying 2r + 5t = 8t + -2r Reorder the terms: 2r + 5t = -2r + 8t Solving 2r + 5t = -2r + 8t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 2r + 2r + 5t = -2r + 2r + 8t Combine like terms: 2r + 2r = 4r 4r + 5t = -2r + 2r + 8t Combine like terms: -2r + 2r = 0 4r + 5t = 0 + 8t 4r + 5t = 8t Add '-5t' to each side of the equation. 4r + 5t + -5t = 8t + -5t Combine like terms: 5t + -5t = 0 4r + 0 = 8t + -5t 4r = 8t + -5t Combine like terms: 8t + -5t = 3t 4r = 3t Divide each side by '4'. r = 0.75t Simplifying r = 0.75t
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