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Simplifying -5(-1 + -5r) = -5(2 + -4r) (-1 * -5 + -5r * -5) = -5(2 + -4r) (5 + 25r) = -5(2 + -4r) 5 + 25r = (2 * -5 + -4r * -5) 5 + 25r = (-10 + 20r) Solving 5 + 25r = -10 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 5 + 25r + -20r = -10 + 20r + -20r Combine like terms: 25r + -20r = 5r 5 + 5r = -10 + 20r + -20r Combine like terms: 20r + -20r = 0 5 + 5r = -10 + 0 5 + 5r = -10 Add '-5' to each side of the equation. 5 + -5 + 5r = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 5r = -10 + -5 5r = -10 + -5 Combine like terms: -10 + -5 = -15 5r = -15 Divide each side by '5'. r = -3 Simplifying r = -3
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