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Simplifying 9.5r + -7.57 = 15.4r + 17.85 + -2.8r Reorder the terms: -7.57 + 9.5r = 15.4r + 17.85 + -2.8r Reorder the terms: -7.57 + 9.5r = 17.85 + 15.4r + -2.8r Combine like terms: 15.4r + -2.8r = 12.6r -7.57 + 9.5r = 17.85 + 12.6r Solving -7.57 + 9.5r = 17.85 + 12.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12.6r' to each side of the equation. -7.57 + 9.5r + -12.6r = 17.85 + 12.6r + -12.6r Combine like terms: 9.5r + -12.6r = -3.1r -7.57 + -3.1r = 17.85 + 12.6r + -12.6r Combine like terms: 12.6r + -12.6r = 0.0 -7.57 + -3.1r = 17.85 + 0.0 -7.57 + -3.1r = 17.85 Add '7.57' to each side of the equation. -7.57 + 7.57 + -3.1r = 17.85 + 7.57 Combine like terms: -7.57 + 7.57 = 0.00 0.00 + -3.1r = 17.85 + 7.57 -3.1r = 17.85 + 7.57 Combine like terms: 17.85 + 7.57 = 25.42 -3.1r = 25.42 Divide each side by '-3.1'. r = -8.2 Simplifying r = -8.2
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