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Simplifying 0.25r + 0.25(r + 80) = 51 Reorder the terms: 0.25r + 0.25(80 + r) = 51 0.25r + (80 * 0.25 + r * 0.25) = 51 0.25r + (20 + 0.25r) = 51 Reorder the terms: 20 + 0.25r + 0.25r = 51 Combine like terms: 0.25r + 0.25r = 0.5r 20 + 0.5r = 51 Solving 20 + 0.5r = 51 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.5r = 51 + -20 Combine like terms: 20 + -20 = 0 0 + 0.5r = 51 + -20 0.5r = 51 + -20 Combine like terms: 51 + -20 = 31 0.5r = 31 Divide each side by '0.5'. r = 62 Simplifying r = 62
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