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Simplifying 7r + 1 + -2r = 3r + -5 Reorder the terms: 1 + 7r + -2r = 3r + -5 Combine like terms: 7r + -2r = 5r 1 + 5r = 3r + -5 Reorder the terms: 1 + 5r = -5 + 3r Solving 1 + 5r = -5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 1 + 5r + -3r = -5 + 3r + -3r Combine like terms: 5r + -3r = 2r 1 + 2r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 2r = -5 + 0 1 + 2r = -5 Add '-1' to each side of the equation. 1 + -1 + 2r = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = -5 + -1 2r = -5 + -1 Combine like terms: -5 + -1 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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