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Simplifying 3 + 2r + -2 = 8r + 25 + -3r Reorder the terms: 3 + -2 + 2r = 8r + 25 + -3r Combine like terms: 3 + -2 = 1 1 + 2r = 8r + 25 + -3r Reorder the terms: 1 + 2r = 25 + 8r + -3r Combine like terms: 8r + -3r = 5r 1 + 2r = 25 + 5r Solving 1 + 2r = 25 + 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. 1 + 2r + -5r = 25 + 5r + -5r Combine like terms: 2r + -5r = -3r 1 + -3r = 25 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -3r = 25 + 0 1 + -3r = 25 Add '-1' to each side of the equation. 1 + -1 + -3r = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -3r = 25 + -1 -3r = 25 + -1 Combine like terms: 25 + -1 = 24 -3r = 24 Divide each side by '-3'. r = -8 Simplifying r = -8
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