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Simplifying 4r + 9 = 7r + 8 Reorder the terms: 9 + 4r = 7r + 8 Reorder the terms: 9 + 4r = 8 + 7r Solving 9 + 4r = 8 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 9 + 4r + -7r = 8 + 7r + -7r Combine like terms: 4r + -7r = -3r 9 + -3r = 8 + 7r + -7r Combine like terms: 7r + -7r = 0 9 + -3r = 8 + 0 9 + -3r = 8 Add '-9' to each side of the equation. 9 + -9 + -3r = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -3r = 8 + -9 -3r = 8 + -9 Combine like terms: 8 + -9 = -1 -3r = -1 Divide each side by '-3'. r = 0.3333333333 Simplifying r = 0.3333333333
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