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Simplifying 9 + 10r + -5 = 8r + 46 + -5r Reorder the terms: 9 + -5 + 10r = 8r + 46 + -5r Combine like terms: 9 + -5 = 4 4 + 10r = 8r + 46 + -5r Reorder the terms: 4 + 10r = 46 + 8r + -5r Combine like terms: 8r + -5r = 3r 4 + 10r = 46 + 3r Solving 4 + 10r = 46 + 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. 4 + 10r + -3r = 46 + 3r + -3r Combine like terms: 10r + -3r = 7r 4 + 7r = 46 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + 7r = 46 + 0 4 + 7r = 46 Add '-4' to each side of the equation. 4 + -4 + 7r = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 7r = 46 + -4 7r = 46 + -4 Combine like terms: 46 + -4 = 42 7r = 42 Divide each side by '7'. r = 6 Simplifying r = 6
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