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Simplifying 3r + -5 + 5(r + -1) = 5r + -5 Reorder the terms: 3r + -5 + 5(-1 + r) = 5r + -5 3r + -5 + (-1 * 5 + r * 5) = 5r + -5 3r + -5 + (-5 + 5r) = 5r + -5 Reorder the terms: -5 + -5 + 3r + 5r = 5r + -5 Combine like terms: -5 + -5 = -10 -10 + 3r + 5r = 5r + -5 Combine like terms: 3r + 5r = 8r -10 + 8r = 5r + -5 Reorder the terms: -10 + 8r = -5 + 5r Solving -10 + 8r = -5 + 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. -10 + 8r + -5r = -5 + 5r + -5r Combine like terms: 8r + -5r = 3r -10 + 3r = -5 + 5r + -5r Combine like terms: 5r + -5r = 0 -10 + 3r = -5 + 0 -10 + 3r = -5 Add '10' to each side of the equation. -10 + 10 + 3r = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = -5 + 10 3r = -5 + 10 Combine like terms: -5 + 10 = 5 3r = 5 Divide each side by '3'. r = 1.666666667 Simplifying r = 1.666666667
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