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Simplifying -8r + -5(1 + -4r) = 0 -8r + (1 * -5 + -4r * -5) = 0 -8r + (-5 + 20r) = 0 Reorder the terms: -5 + -8r + 20r = 0 Combine like terms: -8r + 20r = 12r -5 + 12r = 0 Solving -5 + 12r = 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 + 12r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12r = 0 + 5 12r = 0 + 5 Combine like terms: 0 + 5 = 5 12r = 5 Divide each side by '12'. r = 0.4166666667 Simplifying r = 0.4166666667
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