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Simplifying -4 + 9.5(1 + -3.5r) = 20.5 -4 + (1 * 9.5 + -3.5r * 9.5) = 20.5 -4 + (9.5 + -33.25r) = 20.5 Combine like terms: -4 + 9.5 = 5.5 5.5 + -33.25r = 20.5 Solving 5.5 + -33.25r = 20.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + -33.25r = 20.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -33.25r = 20.5 + -5.5 -33.25r = 20.5 + -5.5 Combine like terms: 20.5 + -5.5 = 15 -33.25r = 15 Divide each side by '-33.25'. r = -0.4511278195 Simplifying r = -0.4511278195
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