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Simplifying 8r + 6 = 3r + 31 Reorder the terms: 6 + 8r = 3r + 31 Reorder the terms: 6 + 8r = 31 + 3r Solving 6 + 8r = 31 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 6 + 8r + -3r = 31 + 3r + -3r Combine like terms: 8r + -3r = 5r 6 + 5r = 31 + 3r + -3r Combine like terms: 3r + -3r = 0 6 + 5r = 31 + 0 6 + 5r = 31 Add '-6' to each side of the equation. 6 + -6 + 5r = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5r = 31 + -6 5r = 31 + -6 Combine like terms: 31 + -6 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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