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Simplifying 0.75(3r + 10) = 32.25 Reorder the terms: 0.75(10 + 3r) = 32.25 (10 * 0.75 + 3r * 0.75) = 32.25 (7.5 + 2.25r) = 32.25 Solving 7.5 + 2.25r = 32.25 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 2.25r = 32.25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 2.25r = 32.25 + -7.5 2.25r = 32.25 + -7.5 Combine like terms: 32.25 + -7.5 = 24.75 2.25r = 24.75 Divide each side by '2.25'. r = 11 Simplifying r = 11
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