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Simplifying (r + -2) + (2r + 1) = 8 Reorder the terms: (-2 + r) + (2r + 1) = 8 Remove parenthesis around (-2 + r) -2 + r + (2r + 1) = 8 Reorder the terms: -2 + r + (1 + 2r) = 8 Remove parenthesis around (1 + 2r) -2 + r + 1 + 2r = 8 Reorder the terms: -2 + 1 + r + 2r = 8 Combine like terms: -2 + 1 = -1 -1 + r + 2r = 8 Combine like terms: r + 2r = 3r -1 + 3r = 8 Solving -1 + 3r = 8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. 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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