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Simplifying 2.5(9.5r + -8) = 15.5 + -6.5r Reorder the terms: 2.5(-8 + 9.5r) = 15.5 + -6.5r (-8 * 2.5 + 9.5r * 2.5) = 15.5 + -6.5r (-20 + 23.75r) = 15.5 + -6.5r Solving -20 + 23.75r = 15.5 + -6.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6.5r' to each side of the equation. -20 + 23.75r + 6.5r = 15.5 + -6.5r + 6.5r Combine like terms: 23.75r + 6.5r = 30.25r -20 + 30.25r = 15.5 + -6.5r + 6.5r Combine like terms: -6.5r + 6.5r = 0.0 -20 + 30.25r = 15.5 + 0.0 -20 + 30.25r = 15.5 Add '20' to each side of the equation. -20 + 20 + 30.25r = 15.5 + 20 Combine like terms: -20 + 20 = 0 0 + 30.25r = 15.5 + 20 30.25r = 15.5 + 20 Combine like terms: 15.5 + 20 = 35.5 30.25r = 35.5 Divide each side by '30.25'. r = 1.173553719 Simplifying r = 1.173553719
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