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Simplifying 1.8r + 9 = 5.7r + 6 Reorder the terms: 9 + 1.8r = 5.7r + 6 Reorder the terms: 9 + 1.8r = 6 + 5.7r Solving 9 + 1.8r = 6 + 5.7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.7r' to each side of the equation. 9 + 1.8r + -5.7r = 6 + 5.7r + -5.7r Combine like terms: 1.8r + -5.7r = -3.9r 9 + -3.9r = 6 + 5.7r + -5.7r Combine like terms: 5.7r + -5.7r = 0.0 9 + -3.9r = 6 + 0.0 9 + -3.9r = 6 Add '-9' to each side of the equation. 9 + -9 + -3.9r = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -3.9r = 6 + -9 -3.9r = 6 + -9 Combine like terms: 6 + -9 = -3 -3.9r = -3 Divide each side by '-3.9'. r = 0.7692307692 Simplifying r = 0.7692307692
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