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Simplifying -1(-8r + 1) = -1(-3 + -5r) Reorder the terms: -1(1 + -8r) = -1(-3 + -5r) (1 * -1 + -8r * -1) = -1(-3 + -5r) (-1 + 8r) = -1(-3 + -5r) -1 + 8r = (-3 * -1 + -5r * -1) -1 + 8r = (3 + 5r) Solving -1 + 8r = 3 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -1 + 8r + -5r = 3 + 5r + -5r Combine like terms: 8r + -5r = 3r -1 + 3r = 3 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + 3r = 3 + 0 -1 + 3r = 3 Add '1' to each side of the equation. -1 + 1 + 3r = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 3r = 3 + 1 3r = 3 + 1 Combine like terms: 3 + 1 = 4 3r = 4 Divide each side by '3'. r = 1.333333333 Simplifying r = 1.333333333
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