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Simplifying 2.5(3 + -2.5r) = 5r (3 * 2.5 + -2.5r * 2.5) = 5r (7.5 + -6.25r) = 5r Solving 7.5 + -6.25r = 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 7.5 + -6.25r + -5r = 5r + -5r Combine like terms: -6.25r + -5r = -11.25r 7.5 + -11.25r = 5r + -5r Combine like terms: 5r + -5r = 0 7.5 + -11.25r = 0 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -11.25r = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -11.25r = 0 + -7.5 -11.25r = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -11.25r = -7.5 Divide each side by '-11.25'. r = 0.6666666667 Simplifying r = 0.6666666667
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