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Simplifying -9.5 + 7.5(1 + 5.5r) = -17.5 -9.5 + (1 * 7.5 + 5.5r * 7.5) = -17.5 -9.5 + (7.5 + 41.25r) = -17.5 Combine like terms: -9.5 + 7.5 = -2 -2 + 41.25r = -17.5 Solving -2 + 41.25r = -17.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 41.25r = -17.5 + 2 Combine like terms: -2 + 2 = 0 0 + 41.25r = -17.5 + 2 41.25r = -17.5 + 2 Combine like terms: -17.5 + 2 = -15.5 41.25r = -15.5 Divide each side by '41.25'. r = -0.3757575758 Simplifying r = -0.3757575758
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