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Simplifying 3 + 13r + -1 = 7r + 58 + -2r Reorder the terms: 3 + -1 + 13r = 7r + 58 + -2r Combine like terms: 3 + -1 = 2 2 + 13r = 7r + 58 + -2r Reorder the terms: 2 + 13r = 58 + 7r + -2r Combine like terms: 7r + -2r = 5r 2 + 13r = 58 + 5r Solving 2 + 13r = 58 + 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 + 13r + -5r = 58 + 5r + -5r Combine like terms: 13r + -5r = 8r 2 + 8r = 58 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + 8r = 58 + 0 2 + 8r = 58 Add '-2' to each side of the equation. 2 + -2 + 8r = 58 + -2 Combine like terms: 2 + -2 = 0 0 + 8r = 58 + -2 8r = 58 + -2 Combine like terms: 58 + -2 = 56 8r = 56 Divide each side by '8'. r = 7 Simplifying r = 7
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