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Simplifying 5t + -3r = 6r + -1r Reorder the terms: -3r + 5t = 6r + -1r Combine like terms: 6r + -1r = 5r -3r + 5t = 5r Solving -3r + 5t = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -3r + -5r + 5t = 5r + -5r Combine like terms: -3r + -5r = -8r -8r + 5t = 5r + -5r Combine like terms: 5r + -5r = 0 -8r + 5t = 0 Add '-5t' to each side of the equation. -8r + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 -8r + 0 = 0 + -5t -8r = 0 + -5t Remove the zero: -8r = -5t Divide each side by '-8'. r = 0.625t Simplifying r = 0.625t
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