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Simplifying 5 + 3r + -2 = 8r + 9 + -3r Reorder the terms: 5 + -2 + 3r = 8r + 9 + -3r Combine like terms: 5 + -2 = 3 3 + 3r = 8r + 9 + -3r Reorder the terms: 3 + 3r = 9 + 8r + -3r Combine like terms: 8r + -3r = 5r 3 + 3r = 9 + 5r Solving 3 + 3r = 9 + 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. 3 + 3r + -5r = 9 + 5r + -5r Combine like terms: 3r + -5r = -2r 3 + -2r = 9 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -2r = 9 + 0 3 + -2r = 9 Add '-3' to each side of the equation. 3 + -3 + -2r = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 9 + -3 -2r = 9 + -3 Combine like terms: 9 + -3 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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