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Simplifying 9 + 9r + -5 = 7r + 49 + -3r Reorder the terms: 9 + -5 + 9r = 7r + 49 + -3r Combine like terms: 9 + -5 = 4 4 + 9r = 7r + 49 + -3r Reorder the terms: 4 + 9r = 49 + 7r + -3r Combine like terms: 7r + -3r = 4r 4 + 9r = 49 + 4r Solving 4 + 9r = 49 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 4 + 9r + -4r = 49 + 4r + -4r Combine like terms: 9r + -4r = 5r 4 + 5r = 49 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + 5r = 49 + 0 4 + 5r = 49 Add '-4' to each side of the equation. 4 + -4 + 5r = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 5r = 49 + -4 5r = 49 + -4 Combine like terms: 49 + -4 = 45 5r = 45 Divide each side by '5'. r = 9 Simplifying r = 9
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