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Simplifying 10r + 9 = 5r + 24 Reorder the terms: 9 + 10r = 5r + 24 Reorder the terms: 9 + 10r = 24 + 5r Solving 9 + 10r = 24 + 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. 9 + 10r + -5r = 24 + 5r + -5r Combine like terms: 10r + -5r = 5r 9 + 5r = 24 + 5r + -5r Combine like terms: 5r + -5r = 0 9 + 5r = 24 + 0 9 + 5r = 24 Add '-9' to each side of the equation. 9 + -9 + 5r = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 5r = 24 + -9 5r = 24 + -9 Combine like terms: 24 + -9 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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