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Simplifying 0.75(3r + 10) = 32.5 + 7.25r Reorder the terms: 0.75(10 + 3r) = 32.5 + 7.25r (10 * 0.75 + 3r * 0.75) = 32.5 + 7.25r (7.5 + 2.25r) = 32.5 + 7.25r Solving 7.5 + 2.25r = 32.5 + 7.25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.25r' to each side of the equation. 7.5 + 2.25r + -7.25r = 32.5 + 7.25r + -7.25r Combine like terms: 2.25r + -7.25r = -5r 7.5 + -5r = 32.5 + 7.25r + -7.25r Combine like terms: 7.25r + -7.25r = 0.00 7.5 + -5r = 32.5 + 0.00 7.5 + -5r = 32.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -5r = 32.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -5r = 32.5 + -7.5 -5r = 32.5 + -7.5 Combine like terms: 32.5 + -7.5 = 25 -5r = 25 Divide each side by '-5'. r = -5 Simplifying r = -5
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