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