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Simplifying (r + 4) * 1.25 + r * 1.25 = 40 Reorder the terms: (4 + r) * 1.25 + r * 1.25 = 40 Reorder the terms for easier multiplication: 1.25(4 + r) + r * 1.25 = 40 (4 * 1.25 + r * 1.25) + r * 1.25 = 40 (5 + 1.25r) + r * 1.25 = 40 Reorder the terms for easier multiplication: 5 + 1.25r + 1.25r = 40 Combine like terms: 1.25r + 1.25r = 2.5r 5 + 2.5r = 40 Solving 5 + 2.5r = 40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2.5r = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5r = 40 + -5 2.5r = 40 + -5 Combine like terms: 40 + -5 = 35 2.5r = 35 Divide each side by '2.5'. r = 14 Simplifying r = 14
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