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Simplifying 8r + 10 = 5r + 31 Reorder the terms: 10 + 8r = 5r + 31 Reorder the terms: 10 + 8r = 31 + 5r Solving 10 + 8r = 31 + 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. 10 + 8r + -5r = 31 + 5r + -5r Combine like terms: 8r + -5r = 3r 10 + 3r = 31 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + 3r = 31 + 0 10 + 3r = 31 Add '-10' to each side of the equation. 10 + -10 + 3r = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 3r = 31 + -10 3r = 31 + -10 Combine like terms: 31 + -10 = 21 3r = 21 Divide each side by '3'. r = 7 Simplifying r = 7
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