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Simplifying 1.7r + 9 = 1.3r + 25 Reorder the terms: 9 + 1.7r = 1.3r + 25 Reorder the terms: 9 + 1.7r = 25 + 1.3r Solving 9 + 1.7r = 25 + 1.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.3r' to each side of the equation. 9 + 1.7r + -1.3r = 25 + 1.3r + -1.3r Combine like terms: 1.7r + -1.3r = 0.4r 9 + 0.4r = 25 + 1.3r + -1.3r Combine like terms: 1.3r + -1.3r = 0.0 9 + 0.4r = 25 + 0.0 9 + 0.4r = 25 Add '-9' to each side of the equation. 9 + -9 + 0.4r = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 0.4r = 25 + -9 0.4r = 25 + -9 Combine like terms: 25 + -9 = 16 0.4r = 16 Divide each side by '0.4'. r = 40 Simplifying r = 40
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