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Simplifying -8.5(5.5r + -5) = 18.5 + 9.5r Reorder the terms: -8.5(-5 + 5.5r) = 18.5 + 9.5r (-5 * -8.5 + 5.5r * -8.5) = 18.5 + 9.5r (42.5 + -46.75r) = 18.5 + 9.5r Solving 42.5 + -46.75r = 18.5 + 9.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9.5r' to each side of the equation. 42.5 + -46.75r + -9.5r = 18.5 + 9.5r + -9.5r Combine like terms: -46.75r + -9.5r = -56.25r 42.5 + -56.25r = 18.5 + 9.5r + -9.5r Combine like terms: 9.5r + -9.5r = 0.0 42.5 + -56.25r = 18.5 + 0.0 42.5 + -56.25r = 18.5 Add '-42.5' to each side of the equation. 42.5 + -42.5 + -56.25r = 18.5 + -42.5 Combine like terms: 42.5 + -42.5 = 0.0 0.0 + -56.25r = 18.5 + -42.5 -56.25r = 18.5 + -42.5 Combine like terms: 18.5 + -42.5 = -24 -56.25r = -24 Divide each side by '-56.25'. r = 0.4266666667 Simplifying r = 0.4266666667
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