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Simplifying r + (r + -1) = 5r + 8 Reorder the terms: r + (-1 + r) = 5r + 8 Remove parenthesis around (-1 + r) r + -1 + r = 5r + 8 Reorder the terms: -1 + r + r = 5r + 8 Combine like terms: r + r = 2r -1 + 2r = 5r + 8 Reorder the terms: -1 + 2r = 8 + 5r Solving -1 + 2r = 8 + 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 + 2r + -5r = 8 + 5r + -5r Combine like terms: 2r + -5r = -3r -1 + -3r = 8 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + -3r = 8 + 0 -1 + -3r = 8 Add '1' to each side of the equation. -1 + 1 + -3r = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -3r = 8 + 1 -3r = 8 + 1 Combine like terms: 8 + 1 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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