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Simplifying 8r + 3 = 5r + 12 Reorder the terms: 3 + 8r = 5r + 12 Reorder the terms: 3 + 8r = 12 + 5r Solving 3 + 8r = 12 + 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 + 8r + -5r = 12 + 5r + -5r Combine like terms: 8r + -5r = 3r 3 + 3r = 12 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + 3r = 12 + 0 3 + 3r = 12 Add '-3' to each side of the equation. 3 + -3 + 3r = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3r = 12 + -3 3r = 12 + -3 Combine like terms: 12 + -3 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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