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Simplifying 5r + 3 + -1 = 8r + -5r Reorder the terms: 3 + -1 + 5r = 8r + -5r Combine like terms: 3 + -1 = 2 2 + 5r = 8r + -5r Combine like terms: 8r + -5r = 3r 2 + 5r = 3r Solving 2 + 5r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 2 + 5r + -3r = 3r + -3r Combine like terms: 5r + -3r = 2r 2 + 2r = 3r + -3r Combine like terms: 3r + -3r = 0 2 + 2r = 0 Add '-2' to each side of the equation. 2 + -2 + 2r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 0 + -2 2r = 0 + -2 Combine like terms: 0 + -2 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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