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Simplifying 8r + 17 = 5r + 32 Reorder the terms: 17 + 8r = 5r + 32 Reorder the terms: 17 + 8r = 32 + 5r Solving 17 + 8r = 32 + 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. 17 + 8r + -5r = 32 + 5r + -5r Combine like terms: 8r + -5r = 3r 17 + 3r = 32 + 5r + -5r Combine like terms: 5r + -5r = 0 17 + 3r = 32 + 0 17 + 3r = 32 Add '-17' to each side of the equation. 17 + -17 + 3r = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 3r = 32 + -17 3r = 32 + -17 Combine like terms: 32 + -17 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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