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Simplifying 8r + 5 = 5r + 6.50 Reorder the terms: 5 + 8r = 5r + 6.50 Reorder the terms: 5 + 8r = 6.50 + 5r Solving 5 + 8r = 6.50 + 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. 5 + 8r + -5r = 6.50 + 5r + -5r Combine like terms: 8r + -5r = 3r 5 + 3r = 6.50 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + 3r = 6.50 + 0 5 + 3r = 6.50 Add '-5' to each side of the equation. 5 + -5 + 3r = 6.50 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 6.50 + -5 3r = 6.50 + -5 Combine like terms: 6.50 + -5 = 1.5 3r = 1.5 Divide each side by '3'. r = 0.5 Simplifying r = 0.5
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