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Simplifying 7r + 11 = 1 + 5r Reorder the terms: 11 + 7r = 1 + 5r Solving 11 + 7r = 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. 11 + 7r + -5r = 1 + 5r + -5r Combine like terms: 7r + -5r = 2r 11 + 2r = 1 + 5r + -5r Combine like terms: 5r + -5r = 0 11 + 2r = 1 + 0 11 + 2r = 1 Add '-11' to each side of the equation. 11 + -11 + 2r = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 2r = 1 + -11 2r = 1 + -11 Combine like terms: 1 + -11 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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