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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 = 7.5r 9 + 7.5r = 6 + -5.7r + 5.7r Combine like terms: -5.7r + 5.7r = 0.0 9 + 7.5r = 6 + 0.0 9 + 7.5r = 6 Add '-9' to each side of the equation. 9 + -9 + 7.5r = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 7.5r = 6 + -9 7.5r = 6 + -9 Combine like terms: 6 + -9 = -3 7.5r = -3 Divide each side by '7.5'. r = -0.4 Simplifying r = -0.4
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