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Simplifying 1.75r + 1.75(r + 5) = 47.25 Reorder the terms: 1.75r + 1.75(5 + r) = 47.25 1.75r + (5 * 1.75 + r * 1.75) = 47.25 1.75r + (8.75 + 1.75r) = 47.25 Reorder the terms: 8.75 + 1.75r + 1.75r = 47.25 Combine like terms: 1.75r + 1.75r = 3.5r 8.75 + 3.5r = 47.25 Solving 8.75 + 3.5r = 47.25 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8.75' to each side of the equation. 8.75 + -8.75 + 3.5r = 47.25 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + 3.5r = 47.25 + -8.75 3.5r = 47.25 + -8.75 Combine like terms: 47.25 + -8.75 = 38.5 3.5r = 38.5 Divide each side by '3.5'. r = 11 Simplifying r = 11
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