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Simplifying 1.75r + 1.75(r + 7) = 54.25 Reorder the terms: 1.75r + 1.75(7 + r) = 54.25 1.75r + (7 * 1.75 + r * 1.75) = 54.25 1.75r + (12.25 + 1.75r) = 54.25 Reorder the terms: 12.25 + 1.75r + 1.75r = 54.25 Combine like terms: 1.75r + 1.75r = 3.5r 12.25 + 3.5r = 54.25 Solving 12.25 + 3.5r = 54.25 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12.25' to each side of the equation. 12.25 + -12.25 + 3.5r = 54.25 + -12.25 Combine like terms: 12.25 + -12.25 = 0.00 0.00 + 3.5r = 54.25 + -12.25 3.5r = 54.25 + -12.25 Combine like terms: 54.25 + -12.25 = 42 3.5r = 42 Divide each side by '3.5'. r = 12 Simplifying r = 12
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