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Simplifying -1r + 5(1 + -2r) = 0 -1r + (1 * 5 + -2r * 5) = 0 -1r + (5 + -10r) = 0 Reorder the terms: 5 + -1r + -10r = 0 Combine like terms: -1r + -10r = -11r 5 + -11r = 0 Solving 5 + -11r = 0 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 + -11r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11r = 0 + -5 -11r = 0 + -5 Combine like terms: 0 + -5 = -5 -11r = -5 Divide each side by '-11'. r = 0.4545454545 Simplifying r = 0.4545454545
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